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Finding the Fourth Proportional to 417,643,582.80, 626,465,374.20 and 175,778,878.80

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Solution

The fourth proportional to 417,643,582.80, 626,465,374.20 and 175,778,878.80 is: 263,668,318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,643,582.80 : 626,465,374.20 = 175,778,878.80 : x
  2. Step 2: Convert to fraction form
    417,643,582.80/626,465,374.20 = 175,778,878.80/x
  3. Step 3: Cross multiply
    417,643,582.80x = 626,465,374.20 × 175,778,878.80
  4. Step 4: Simplify right side
    417,643,582.80x = 110,119,381,083,898,464
  5. Step 5: Solve for x
    x = 110,119,381,083,898,464/417,643,582.80
  6. Step 6: Final answer
    x = 263,668,318.20

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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.