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Finding the Fourth Proportional to 49,655,123,675.80, 74,482,685,513.70 and 49,655,123,675.80

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Solution

The fourth proportional to 49,655,123,675.80, 74,482,685,513.70 and 49,655,123,675.80 is: 74,482,685,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,655,123,675.80 : 74,482,685,513.70 = 49,655,123,675.80 : x
  2. Step 2: Convert to fraction form
    49,655,123,675.80/74,482,685,513.70 = 49,655,123,675.80/x
  3. Step 3: Cross multiply
    49,655,123,675.80x = 74,482,685,513.70 × 49,655,123,675.80
  4. Step 4: Simplify right side
    49,655,123,675.80x = 3,698,446,960,888,490,491,904
  5. Step 5: Solve for x
    x = 3,698,446,960,888,490,491,904/49,655,123,675.80
  6. Step 6: Final answer
    x = 74,482,685,513.70

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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.