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Finding the Fourth Proportional to 1,034,835,726.03, 1,428,066,037.14 and 564,937,046.97

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Solution

The fourth proportional to 1,034,835,726.03, 1,428,066,037.14 and 564,937,046.97 is: 779,609,158.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,835,726.03 : 1,428,066,037.14 = 564,937,046.97 : x
  2. Step 2: Convert to fraction form
    1,034,835,726.03/1,428,066,037.14 = 564,937,046.97/x
  3. Step 3: Cross multiply
    1,034,835,726.03x = 1,428,066,037.14 × 564,937,046.97
  4. Step 4: Simplify right side
    1,034,835,726.03x = 806,767,409,900,022,016
  5. Step 5: Solve for x
    x = 806,767,409,900,022,016/1,034,835,726.03
  6. Step 6: Final answer
    x = 779,609,158.83

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Why These Related Problems?

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