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Finding the Fourth Proportional to 137,780,998.80, 193,148,490 and 137,780,998.80

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Solution

The fourth proportional to 137,780,998.80, 193,148,490 and 137,780,998.80 is: 193,148,490

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,780,998.80 : 193,148,490 = 137,780,998.80 : x
  2. Step 2: Convert to fraction form
    137,780,998.80/193,148,490 = 137,780,998.80/x
  3. Step 3: Cross multiply
    137,780,998.80x = 193,148,490 × 137,780,998.80
  4. Step 4: Simplify right side
    137,780,998.80x = 26,612,191,868,911,816
  5. Step 5: Solve for x
    x = 26,612,191,868,911,816/137,780,998.80
  6. Step 6: Final answer
    x = 193,148,490

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.