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Finding the Fourth Proportional to 254,191,812.30, 381,287,718.45 and 254,191,812.30

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Solution

The fourth proportional to 254,191,812.30, 381,287,718.45 and 254,191,812.30 is: 381,287,718.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,191,812.30 : 381,287,718.45 = 254,191,812.30 : x
  2. Step 2: Convert to fraction form
    254,191,812.30/381,287,718.45 = 254,191,812.30/x
  3. Step 3: Cross multiply
    254,191,812.30x = 381,287,718.45 × 254,191,812.30
  4. Step 4: Simplify right side
    254,191,812.30x = 96,920,216,160,537,648
  5. Step 5: Solve for x
    x = 96,920,216,160,537,648/254,191,812.30
  6. Step 6: Final answer
    x = 381,287,718.45

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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.