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Finding the Fourth Proportional to 657,948,194.72, 986,914,683.12 and 159,961,530.16

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Solution

The fourth proportional to 657,948,194.72, 986,914,683.12 and 159,961,530.16 is: 239,940,445.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,948,194.72 : 986,914,683.12 = 159,961,530.16 : x
  2. Step 2: Convert to fraction form
    657,948,194.72/986,914,683.12 = 159,961,530.16/x
  3. Step 3: Cross multiply
    657,948,194.72x = 986,914,683.12 × 159,961,530.16
  4. Step 4: Simplify right side
    657,948,194.72x = 157,868,382,849,246,720
  5. Step 5: Solve for x
    x = 157,868,382,849,246,720/657,948,194.72
  6. Step 6: Final answer
    x = 239,940,445.34

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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.