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Finding the Fourth Proportional to 395,209,870.80, 592,389,653.40 and 149,471,552.40

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Solution

The fourth proportional to 395,209,870.80, 592,389,653.40 and 149,471,552.40 is: 224,046,532.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,209,870.80 : 592,389,653.40 = 149,471,552.40 : x
  2. Step 2: Convert to fraction form
    395,209,870.80/592,389,653.40 = 149,471,552.40/x
  3. Step 3: Cross multiply
    395,209,870.80x = 592,389,653.40 × 149,471,552.40
  4. Step 4: Simplify right side
    395,209,870.80x = 88,545,401,119,395,936
  5. Step 5: Solve for x
    x = 88,545,401,119,395,936/395,209,870.80
  6. Step 6: Final answer
    x = 224,046,532.39

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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.