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Finding the Fourth Proportional to 64,581,551,144.05, 96,872,326,716.08 and 64,581,551,144.05

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Solution

The fourth proportional to 64,581,551,144.05, 96,872,326,716.08 and 64,581,551,144.05 is: 96,872,326,716.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,581,551,144.05 : 96,872,326,716.08 = 64,581,551,144.05 : x
  2. Step 2: Convert to fraction form
    64,581,551,144.05/96,872,326,716.08 = 64,581,551,144.05/x
  3. Step 3: Cross multiply
    64,581,551,144.05x = 96,872,326,716.08 × 64,581,551,144.05
  4. Step 4: Simplify right side
    64,581,551,144.05x = 6,256,165,122,257,641,799,680
  5. Step 5: Solve for x
    x = 6,256,165,122,257,641,799,680/64,581,551,144.05
  6. Step 6: Final answer
    x = 96,872,326,716.08

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Why These Related Problems?

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