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Finding the Fourth Proportional to 472,395,897.80, 708,593,846.70 and 278,207,356.40

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Solution

The fourth proportional to 472,395,897.80, 708,593,846.70 and 278,207,356.40 is: 417,311,034.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,395,897.80 : 708,593,846.70 = 278,207,356.40 : x
  2. Step 2: Convert to fraction form
    472,395,897.80/708,593,846.70 = 278,207,356.40/x
  3. Step 3: Cross multiply
    472,395,897.80x = 708,593,846.70 × 278,207,356.40
  4. Step 4: Simplify right side
    472,395,897.80x = 197,136,020,851,713,856
  5. Step 5: Solve for x
    x = 197,136,020,851,713,856/472,395,897.80
  6. Step 6: Final answer
    x = 417,311,034.60

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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.