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Finding the Fourth Proportional to 137,797,051,710.01, 206,695,577,565.03 and 137,797,051,710.01

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Solution

The fourth proportional to 137,797,051,710.01, 206,695,577,565.03 and 137,797,051,710.01 is: 206,695,577,565.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,797,051,710.01 : 206,695,577,565.03 = 137,797,051,710.01 : x
  2. Step 2: Convert to fraction form
    137,797,051,710.01/206,695,577,565.03 = 137,797,051,710.01/x
  3. Step 3: Cross multiply
    137,797,051,710.01x = 206,695,577,565.03 × 137,797,051,710.01
  4. Step 4: Simplify right side
    137,797,051,710.01x = 28,482,041,189,958,823,182,336
  5. Step 5: Solve for x
    x = 28,482,041,189,958,823,182,336/137,797,051,710.01
  6. Step 6: Final answer
    x = 206,695,577,565.03

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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.