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Finding the Fourth Proportional to 53,486,914,966.40, 80,230,372,449.60 and 53,486,914,966.40

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Solution

The fourth proportional to 53,486,914,966.40, 80,230,372,449.60 and 53,486,914,966.40 is: 80,230,372,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,486,914,966.40 : 80,230,372,449.60 = 53,486,914,966.40 : x
  2. Step 2: Convert to fraction form
    53,486,914,966.40/80,230,372,449.60 = 53,486,914,966.40/x
  3. Step 3: Cross multiply
    53,486,914,966.40x = 80,230,372,449.60 × 53,486,914,966.40
  4. Step 4: Simplify right side
    53,486,914,966.40x = 4,291,275,108,934,357,090,304
  5. Step 5: Solve for x
    x = 4,291,275,108,934,357,090,304/53,486,914,966.40
  6. Step 6: Final answer
    x = 80,230,372,449.60

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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.