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Finding the Fourth Proportional to 55,947,697,877.70, 83,921,546,816.55 and 55,947,697,877.70

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Solution

The fourth proportional to 55,947,697,877.70, 83,921,546,816.55 and 55,947,697,877.70 is: 83,921,546,816.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,947,697,877.70 : 83,921,546,816.55 = 55,947,697,877.70 : x
  2. Step 2: Convert to fraction form
    55,947,697,877.70/83,921,546,816.55 = 55,947,697,877.70/x
  3. Step 3: Cross multiply
    55,947,697,877.70x = 83,921,546,816.55 × 55,947,697,877.70
  4. Step 4: Simplify right side
    55,947,697,877.70x = 4,695,217,346,721,595,523,072
  5. Step 5: Solve for x
    x = 4,695,217,346,721,595,523,072/55,947,697,877.70
  6. Step 6: Final answer
    x = 83,921,546,816.55

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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.