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Finding the Fourth Proportional to 870,522,714.60, 1,304,083,460.70 and 524,448,335.40

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Solution

The fourth proportional to 870,522,714.60, 1,304,083,460.70 and 524,448,335.40 is: 785,647,966.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,522,714.60 : 1,304,083,460.70 = 524,448,335.40 : x
  2. Step 2: Convert to fraction form
    870,522,714.60/1,304,083,460.70 = 524,448,335.40/x
  3. Step 3: Cross multiply
    870,522,714.60x = 1,304,083,460.70 × 524,448,335.40
  4. Step 4: Simplify right side
    870,522,714.60x = 683,924,400,186,786,304
  5. Step 5: Solve for x
    x = 683,924,400,186,786,304/870,522,714.60
  6. Step 6: Final answer
    x = 785,647,966.12

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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.