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Finding the Fourth Proportional to 91,217,678,428.80, 127,878,892,387.20 and 91,217,678,428.80

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Solution

The fourth proportional to 91,217,678,428.80, 127,878,892,387.20 and 91,217,678,428.80 is: 127,878,892,387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,217,678,428.80 : 127,878,892,387.20 = 91,217,678,428.80 : x
  2. Step 2: Convert to fraction form
    91,217,678,428.80/127,878,892,387.20 = 91,217,678,428.80/x
  3. Step 3: Cross multiply
    91,217,678,428.80x = 127,878,892,387.20 × 91,217,678,428.80
  4. Step 4: Simplify right side
    91,217,678,428.80x = 11,664,815,683,606,729,981,952
  5. Step 5: Solve for x
    x = 11,664,815,683,606,729,981,952/91,217,678,428.80
  6. Step 6: Final answer
    x = 127,878,892,387.20

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