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Finding the Fourth Proportional to 13,984,901,700.10, 20,977,352,550.15 and 13,984,901,700.10

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Solution

The fourth proportional to 13,984,901,700.10, 20,977,352,550.15 and 13,984,901,700.10 is: 20,977,352,550.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984,901,700.10 : 20,977,352,550.15 = 13,984,901,700.10 : x
  2. Step 2: Convert to fraction form
    13,984,901,700.10/20,977,352,550.15 = 13,984,901,700.10/x
  3. Step 3: Cross multiply
    13,984,901,700.10x = 20,977,352,550.15 × 13,984,901,700.10
  4. Step 4: Simplify right side
    13,984,901,700.10x = 293,366,213,342,189,846,528
  5. Step 5: Solve for x
    x = 293,366,213,342,189,846,528/13,984,901,700.10
  6. Step 6: Final answer
    x = 20,977,352,550.15

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1.5x scale

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.