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Finding the Fourth Proportional to 317,046,893.60, 442,958,658.40 and 317,046,893.60

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Solution

The fourth proportional to 317,046,893.60, 442,958,658.40 and 317,046,893.60 is: 442,958,658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,046,893.60 : 442,958,658.40 = 317,046,893.60 : x
  2. Step 2: Convert to fraction form
    317,046,893.60/442,958,658.40 = 317,046,893.60/x
  3. Step 3: Cross multiply
    317,046,893.60x = 442,958,658.40 × 317,046,893.60
  4. Step 4: Simplify right side
    317,046,893.60x = 140,438,666,638,943,552
  5. Step 5: Solve for x
    x = 140,438,666,638,943,552/317,046,893.60
  6. Step 6: Final answer
    x = 442,958,658.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.