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Finding the Fourth Proportional to 40,428,943,094.70, 60,643,414,642.05 and 40,428,943,094.70

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Solution

The fourth proportional to 40,428,943,094.70, 60,643,414,642.05 and 40,428,943,094.70 is: 60,643,414,642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,428,943,094.70 : 60,643,414,642.05 = 40,428,943,094.70 : x
  2. Step 2: Convert to fraction form
    40,428,943,094.70/60,643,414,642.05 = 40,428,943,094.70/x
  3. Step 3: Cross multiply
    40,428,943,094.70x = 60,643,414,642.05 × 40,428,943,094.70
  4. Step 4: Simplify right side
    40,428,943,094.70x = 2,451,749,159,631,736,274,944
  5. Step 5: Solve for x
    x = 2,451,749,159,631,736,274,944/40,428,943,094.70
  6. Step 6: Final answer
    x = 60,643,414,642.05

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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.