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Finding the Fourth Proportional to 314,932,277.70, 472,398,416.55 and 249,175,311.30

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Solution

The fourth proportional to 314,932,277.70, 472,398,416.55 and 249,175,311.30 is: 373,762,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,932,277.70 : 472,398,416.55 = 249,175,311.30 : x
  2. Step 2: Convert to fraction form
    314,932,277.70/472,398,416.55 = 249,175,311.30/x
  3. Step 3: Cross multiply
    314,932,277.70x = 472,398,416.55 × 249,175,311.30
  4. Step 4: Simplify right side
    314,932,277.70x = 117,710,022,501,473,328
  5. Step 5: Solve for x
    x = 117,710,022,501,473,328/314,932,277.70
  6. Step 6: Final answer
    x = 373,762,966.95

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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.