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Finding the Fourth Proportional to 661,482,003.60, 992,223,005.40 and 464,211,104.40

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Solution

The fourth proportional to 661,482,003.60, 992,223,005.40 and 464,211,104.40 is: 696,316,656.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,482,003.60 : 992,223,005.40 = 464,211,104.40 : x
  2. Step 2: Convert to fraction form
    661,482,003.60/992,223,005.40 = 464,211,104.40/x
  3. Step 3: Cross multiply
    661,482,003.60x = 992,223,005.40 × 464,211,104.40
  4. Step 4: Simplify right side
    661,482,003.60x = 460,600,937,147,821,120
  5. Step 5: Solve for x
    x = 460,600,937,147,821,120/661,482,003.60
  6. Step 6: Final answer
    x = 696,316,656.60

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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.