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Finding the Fourth Proportional to 346,934,016,175.20, 519,421,472,211.60 and 346,934,016,175.20

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Solution

The fourth proportional to 346,934,016,175.20, 519,421,472,211.60 and 346,934,016,175.20 is: 519,421,472,211.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,934,016,175.20 : 519,421,472,211.60 = 346,934,016,175.20 : x
  2. Step 2: Convert to fraction form
    346,934,016,175.20/519,421,472,211.60 = 346,934,016,175.20/x
  3. Step 3: Cross multiply
    346,934,016,175.20x = 519,421,472,211.60 × 346,934,016,175.20
  4. Step 4: Simplify right side
    346,934,016,175.20x = 180,204,977,442,005,423,489,024
  5. Step 5: Solve for x
    x = 180,204,977,442,005,423,489,024/346,934,016,175.20
  6. Step 6: Final answer
    x = 519,421,472,211.60

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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.