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Finding the Fourth Proportional to 997,278,312.30, 1,495,917,468.45 and 997,278,312.30

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Solution

The fourth proportional to 997,278,312.30, 1,495,917,468.45 and 997,278,312.30 is: 1,495,917,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,278,312.30 : 1,495,917,468.45 = 997,278,312.30 : x
  2. Step 2: Convert to fraction form
    997,278,312.30/1,495,917,468.45 = 997,278,312.30/x
  3. Step 3: Cross multiply
    997,278,312.30x = 1,495,917,468.45 × 997,278,312.30
  4. Step 4: Simplify right side
    997,278,312.30x = 1,491,846,048,275,904,512
  5. Step 5: Solve for x
    x = 1,491,846,048,275,904,512/997,278,312.30
  6. Step 6: Final answer
    x = 1,495,917,468.45

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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.