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Finding the Fourth Proportional to 64,581,551,142.68, 96,872,326,714.02 and 64,581,551,142.68

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Solution

The fourth proportional to 64,581,551,142.68, 96,872,326,714.02 and 64,581,551,142.68 is: 96,872,326,714.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,581,551,142.68 : 96,872,326,714.02 = 64,581,551,142.68 : x
  2. Step 2: Convert to fraction form
    64,581,551,142.68/96,872,326,714.02 = 64,581,551,142.68/x
  3. Step 3: Cross multiply
    64,581,551,142.68x = 96,872,326,714.02 × 64,581,551,142.68
  4. Step 4: Simplify right side
    64,581,551,142.68x = 6,256,165,121,991,405,207,552
  5. Step 5: Solve for x
    x = 6,256,165,121,991,405,207,552/64,581,551,142.68
  6. Step 6: Final answer
    x = 96,872,326,714.02

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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.