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Finding the Fourth Proportional to 10,456,195,294.95, 14,675,406,614.85 and 10,456,195,294.95

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Solution

The fourth proportional to 10,456,195,294.95, 14,675,406,614.85 and 10,456,195,294.95 is: 14,675,406,614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456,195,294.95 : 14,675,406,614.85 = 10,456,195,294.95 : x
  2. Step 2: Convert to fraction form
    10,456,195,294.95/14,675,406,614.85 = 10,456,195,294.95/x
  3. Step 3: Cross multiply
    10,456,195,294.95x = 14,675,406,614.85 × 10,456,195,294.95
  4. Step 4: Simplify right side
    10,456,195,294.95x = 153,448,917,597,672,701,952
  5. Step 5: Solve for x
    x = 153,448,917,597,672,701,952/10,456,195,294.95
  6. Step 6: Final answer
    x = 14,675,406,614.85

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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.