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Finding the Fourth Proportional to 972,019,506.16, 1,341,390,473.94 and 525,982,872.97

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Solution

The fourth proportional to 972,019,506.16, 1,341,390,473.94 and 525,982,872.97 is: 725,858,288.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,019,506.16 : 1,341,390,473.94 = 525,982,872.97 : x
  2. Step 2: Convert to fraction form
    972,019,506.16/1,341,390,473.94 = 525,982,872.97/x
  3. Step 3: Cross multiply
    972,019,506.16x = 1,341,390,473.94 × 525,982,872.97
  4. Step 4: Simplify right side
    972,019,506.16x = 705,548,415,257,551,232
  5. Step 5: Solve for x
    x = 705,548,415,257,551,232/972,019,506.16
  6. Step 6: Final answer
    x = 725,858,288.63

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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.