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Finding the Fourth Proportional to 185,643,713.70, 278,465,570.55 and 185,643,713.70

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Solution

The fourth proportional to 185,643,713.70, 278,465,570.55 and 185,643,713.70 is: 278,465,570.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,643,713.70 : 278,465,570.55 = 185,643,713.70 : x
  2. Step 2: Convert to fraction form
    185,643,713.70/278,465,570.55 = 185,643,713.70/x
  3. Step 3: Cross multiply
    185,643,713.70x = 278,465,570.55 × 185,643,713.70
  4. Step 4: Simplify right side
    185,643,713.70x = 51,695,382,654,491,352
  5. Step 5: Solve for x
    x = 51,695,382,654,491,352/185,643,713.70
  6. Step 6: Final answer
    x = 278,465,570.55

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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.