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Finding the Fourth Proportional to 972,019,505.16, 1,341,390,472.56 and 525,982,871.97

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Solution

The fourth proportional to 972,019,505.16, 1,341,390,472.56 and 525,982,871.97 is: 725,858,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,019,505.16 : 1,341,390,472.56 = 525,982,871.97 : x
  2. Step 2: Convert to fraction form
    972,019,505.16/1,341,390,472.56 = 525,982,871.97/x
  3. Step 3: Cross multiply
    972,019,505.16x = 1,341,390,472.56 × 525,982,871.97
  4. Step 4: Simplify right side
    972,019,505.16x = 705,548,413,190,304,256
  5. Step 5: Solve for x
    x = 705,548,413,190,304,256/972,019,505.16
  6. Step 6: Final answer
    x = 725,858,287.25

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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.