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Finding the Fourth Proportional to 553,592,327.80, 829,821,621.30 and 323,442,945.40

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Solution

The fourth proportional to 553,592,327.80, 829,821,621.30 and 323,442,945.40 is: 484,833,217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,592,327.80 : 829,821,621.30 = 323,442,945.40 : x
  2. Step 2: Convert to fraction form
    553,592,327.80/829,821,621.30 = 323,442,945.40/x
  3. Step 3: Cross multiply
    553,592,327.80x = 829,821,621.30 × 323,442,945.40
  4. Step 4: Simplify right side
    553,592,327.80x = 268,399,949,349,875,328
  5. Step 5: Solve for x
    x = 268,399,949,349,875,328/553,592,327.80
  6. Step 6: Final answer
    x = 484,833,217.28

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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.