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Finding the Fourth Proportional to 817,432,828.10, 1,226,149,242.15 and 817,432,828.10

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Solution

The fourth proportional to 817,432,828.10, 1,226,149,242.15 and 817,432,828.10 is: 1,226,149,242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,432,828.10 : 1,226,149,242.15 = 817,432,828.10 : x
  2. Step 2: Convert to fraction form
    817,432,828.10/1,226,149,242.15 = 817,432,828.10/x
  3. Step 3: Cross multiply
    817,432,828.10x = 1,226,149,242.15 × 817,432,828.10
  4. Step 4: Simplify right side
    817,432,828.10x = 1,002,294,642,683,346,304
  5. Step 5: Solve for x
    x = 1,002,294,642,683,346,304/817,432,828.10
  6. Step 6: Final answer
    x = 1,226,149,242.15

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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.