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Finding the Fourth Proportional to 725,691,671.84, 1,001,862,033.36 and 502,996,985.12

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Solution

The fourth proportional to 725,691,671.84, 1,001,862,033.36 and 502,996,985.12 is: 694,418,307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,691,671.84 : 1,001,862,033.36 = 502,996,985.12 : x
  2. Step 2: Convert to fraction form
    725,691,671.84/1,001,862,033.36 = 502,996,985.12/x
  3. Step 3: Cross multiply
    725,691,671.84x = 1,001,862,033.36 × 502,996,985.12
  4. Step 4: Simplify right side
    725,691,671.84x = 503,933,582,286,272,896
  5. Step 5: Solve for x
    x = 503,933,582,286,272,896/725,691,671.84
  6. Step 6: Final answer
    x = 694,418,307.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.