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Finding the Fourth Proportional to 574,862,751.60, 862,294,127.40 and 315,944,696.40

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Solution

The fourth proportional to 574,862,751.60, 862,294,127.40 and 315,944,696.40 is: 473,917,044.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,862,751.60 : 862,294,127.40 = 315,944,696.40 : x
  2. Step 2: Convert to fraction form
    574,862,751.60/862,294,127.40 = 315,944,696.40/x
  3. Step 3: Cross multiply
    574,862,751.60x = 862,294,127.40 × 315,944,696.40
  4. Step 4: Simplify right side
    574,862,751.60x = 272,437,256,288,895,904
  5. Step 5: Solve for x
    x = 272,437,256,288,895,904/574,862,751.60
  6. Step 6: Final answer
    x = 473,917,044.60

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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.