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Finding the Fourth Proportional to 691,129,908.10, 1,036,694,862.15 and 691,129,908.10

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Solution

The fourth proportional to 691,129,908.10, 1,036,694,862.15 and 691,129,908.10 is: 1,036,694,862.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,129,908.10 : 1,036,694,862.15 = 691,129,908.10 : x
  2. Step 2: Convert to fraction form
    691,129,908.10/1,036,694,862.15 = 691,129,908.10/x
  3. Step 3: Cross multiply
    691,129,908.10x = 1,036,694,862.15 × 691,129,908.10
  4. Step 4: Simplify right side
    691,129,908.10x = 716,490,824,805,471,616
  5. Step 5: Solve for x
    x = 716,490,824,805,471,616/691,129,908.10
  6. Step 6: Final answer
    x = 1,036,694,862.15

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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.