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Finding the Fourth Proportional to 81,746,291,381.60, 122,619,437,072.40 and 81,746,291,381.60

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Solution

The fourth proportional to 81,746,291,381.60, 122,619,437,072.40 and 81,746,291,381.60 is: 122,619,437,072.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,746,291,381.60 : 122,619,437,072.40 = 81,746,291,381.60 : x
  2. Step 2: Convert to fraction form
    81,746,291,381.60/122,619,437,072.40 = 81,746,291,381.60/x
  3. Step 3: Cross multiply
    81,746,291,381.60x = 122,619,437,072.40 × 81,746,291,381.60
  4. Step 4: Simplify right side
    81,746,291,381.60x = 10,023,684,231,968,176,734,208
  5. Step 5: Solve for x
    x = 10,023,684,231,968,176,734,208/81,746,291,381.60
  6. Step 6: Final answer
    x = 122,619,437,072.40

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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.