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Finding the Fourth Proportional to 3,708,592,128,223, 5,562,888,192,334.40 and 3,708,592,128,223

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Solution

The fourth proportional to 3,708,592,128,223, 5,562,888,192,334.40 and 3,708,592,128,223 is: 5,562,888,192,334.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708,592,128,223 : 5,562,888,192,334.40 = 3,708,592,128,223 : x
  2. Step 2: Convert to fraction form
    3,708,592,128,223/5,562,888,192,334.40 = 3,708,592,128,223/x
  3. Step 3: Cross multiply
    3,708,592,128,223x = 5,562,888,192,334.40 × 3,708,592,128,223
  4. Step 4: Simplify right side
    3,708,592,128,223x = 20,630,483,360,276,033,344,372,736
  5. Step 5: Solve for x
    x = 20,630,483,360,276,033,344,372,736/3,708,592,128,223
  6. Step 6: Final answer
    x = 5,562,888,192,334.40

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.