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Finding the Fourth Proportional to 996,856,098.68, 1,495,284,148.02 and 996,856,098.68

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Solution

The fourth proportional to 996,856,098.68, 1,495,284,148.02 and 996,856,098.68 is: 1,495,284,148.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,856,098.68 : 1,495,284,148.02 = 996,856,098.68 : x
  2. Step 2: Convert to fraction form
    996,856,098.68/1,495,284,148.02 = 996,856,098.68/x
  3. Step 3: Cross multiply
    996,856,098.68x = 1,495,284,148.02 × 996,856,098.68
  4. Step 4: Simplify right side
    996,856,098.68x = 1,490,583,122,213,264,640
  5. Step 5: Solve for x
    x = 1,490,583,122,213,264,640/996,856,098.68
  6. Step 6: Final answer
    x = 1,495,284,148.02

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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.