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Finding the Fourth Proportional to 97,478,769,833.90, 146,218,154,750.85 and 97,478,769,833.90

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Solution

The fourth proportional to 97,478,769,833.90, 146,218,154,750.85 and 97,478,769,833.90 is: 146,218,154,750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,478,769,833.90 : 146,218,154,750.85 = 97,478,769,833.90 : x
  2. Step 2: Convert to fraction form
    97,478,769,833.90/146,218,154,750.85 = 97,478,769,833.90/x
  3. Step 3: Cross multiply
    97,478,769,833.90x = 146,218,154,750.85 × 97,478,769,833.90
  4. Step 4: Simplify right side
    97,478,769,833.90x = 14,253,165,852,495,678,799,872
  5. Step 5: Solve for x
    x = 14,253,165,852,495,678,799,872/97,478,769,833.90
  6. Step 6: Final answer
    x = 146,218,154,750.85

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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.