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Finding the Fourth Proportional to 137,797,051,710.07, 206,695,577,565.11 and 137,797,051,710.07

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Solution

The fourth proportional to 137,797,051,710.07, 206,695,577,565.11 and 137,797,051,710.07 is: 206,695,577,565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,797,051,710.07 : 206,695,577,565.11 = 137,797,051,710.07 : x
  2. Step 2: Convert to fraction form
    137,797,051,710.07/206,695,577,565.11 = 137,797,051,710.07/x
  3. Step 3: Cross multiply
    137,797,051,710.07x = 206,695,577,565.11 × 137,797,051,710.07
  4. Step 4: Simplify right side
    137,797,051,710.07x = 28,482,041,189,982,248,370,176
  5. Step 5: Solve for x
    x = 28,482,041,189,982,248,370,176/137,797,051,710.07
  6. Step 6: Final answer
    x = 206,695,577,565.11

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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.