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Finding the Fourth Proportional to 2,292,017,477.40, 3,438,026,216.16 and 2,292,017,477.40

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Solution

The fourth proportional to 2,292,017,477.40, 3,438,026,216.16 and 2,292,017,477.40 is: 3,438,026,216.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292,017,477.40 : 3,438,026,216.16 = 2,292,017,477.40 : x
  2. Step 2: Convert to fraction form
    2,292,017,477.40/3,438,026,216.16 = 2,292,017,477.40/x
  3. Step 3: Cross multiply
    2,292,017,477.40x = 3,438,026,216.16 × 2,292,017,477.40
  4. Step 4: Simplify right side
    2,292,017,477.40x = 7,880,016,175,198,110,720
  5. Step 5: Solve for x
    x = 7,880,016,175,198,110,720/2,292,017,477.40
  6. Step 6: Final answer
    x = 3,438,026,216.16

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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.