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Finding the Fourth Proportional to 317,565,522,064.80, 476,348,283,097.20 and 317,565,522,064.80

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Solution

The fourth proportional to 317,565,522,064.80, 476,348,283,097.20 and 317,565,522,064.80 is: 476,348,283,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,565,522,064.80 : 476,348,283,097.20 = 317,565,522,064.80 : x
  2. Step 2: Convert to fraction form
    317,565,522,064.80/476,348,283,097.20 = 317,565,522,064.80/x
  3. Step 3: Cross multiply
    317,565,522,064.80x = 476,348,283,097.20 × 317,565,522,064.80
  4. Step 4: Simplify right side
    317,565,522,064.80x = 151,271,791,206,433,466,351,616
  5. Step 5: Solve for x
    x = 151,271,791,206,433,466,351,616/317,565,522,064.80
  6. Step 6: Final answer
    x = 476,348,283,097.20

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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.