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Finding the Fourth Proportional to 314,929,143.80, 472,393,715.70 and 200,043,409.40

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Solution

The fourth proportional to 314,929,143.80, 472,393,715.70 and 200,043,409.40 is: 300,065,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,929,143.80 : 472,393,715.70 = 200,043,409.40 : x
  2. Step 2: Convert to fraction form
    314,929,143.80/472,393,715.70 = 200,043,409.40/x
  3. Step 3: Cross multiply
    314,929,143.80x = 472,393,715.70 × 200,043,409.40
  4. Step 4: Simplify right side
    314,929,143.80x = 94,499,249,467,762,304
  5. Step 5: Solve for x
    x = 94,499,249,467,762,304/314,929,143.80
  6. Step 6: Final answer
    x = 300,065,114.10

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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.