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Finding the Fourth Proportional to 80,155,053,386.85, 120,232,580,080.28 and 80,155,053,386.85

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Solution

The fourth proportional to 80,155,053,386.85, 120,232,580,080.28 and 80,155,053,386.85 is: 120,232,580,080.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,155,053,386.85 : 120,232,580,080.28 = 80,155,053,386.85 : x
  2. Step 2: Convert to fraction form
    80,155,053,386.85/120,232,580,080.28 = 80,155,053,386.85/x
  3. Step 3: Cross multiply
    80,155,053,386.85x = 120,232,580,080.28 × 80,155,053,386.85
  4. Step 4: Simplify right side
    80,155,053,386.85x = 9,637,248,875,173,561,499,648
  5. Step 5: Solve for x
    x = 9,637,248,875,173,561,499,648/80,155,053,386.85
  6. Step 6: Final answer
    x = 120,232,580,080.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.