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Finding the Fourth Proportional to 49,655,123,680.30, 74,482,685,520.45 and 49,655,123,680.30

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Solution

The fourth proportional to 49,655,123,680.30, 74,482,685,520.45 and 49,655,123,680.30 is: 74,482,685,520.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,655,123,680.30 : 74,482,685,520.45 = 49,655,123,680.30 : x
  2. Step 2: Convert to fraction form
    49,655,123,680.30/74,482,685,520.45 = 49,655,123,680.30/x
  3. Step 3: Cross multiply
    49,655,123,680.30x = 74,482,685,520.45 × 49,655,123,680.30
  4. Step 4: Simplify right side
    49,655,123,680.30x = 3,698,446,961,558,834,642,944
  5. Step 5: Solve for x
    x = 3,698,446,961,558,834,642,944/49,655,123,680.30
  6. Step 6: Final answer
    x = 74,482,685,520.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.