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Finding the Fourth Proportional to 81,564,659,849.70, 122,346,989,774.55 and 81,564,659,849.70

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Solution

The fourth proportional to 81,564,659,849.70, 122,346,989,774.55 and 81,564,659,849.70 is: 122,346,989,774.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,564,659,849.70 : 122,346,989,774.55 = 81,564,659,849.70 : x
  2. Step 2: Convert to fraction form
    81,564,659,849.70/122,346,989,774.55 = 81,564,659,849.70/x
  3. Step 3: Cross multiply
    81,564,659,849.70x = 122,346,989,774.55 × 81,564,659,849.70
  4. Step 4: Simplify right side
    81,564,659,849.70x = 9,979,190,604,595,894,157,312
  5. Step 5: Solve for x
    x = 9,979,190,604,595,894,157,312/81,564,659,849.70
  6. Step 6: Final answer
    x = 122,346,989,774.55

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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.