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Finding the Fourth Proportional to 471,168,286.80, 706,752,430.20 and 183,953,950.80

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Solution

The fourth proportional to 471,168,286.80, 706,752,430.20 and 183,953,950.80 is: 275,930,926.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,168,286.80 : 706,752,430.20 = 183,953,950.80 : x
  2. Step 2: Convert to fraction form
    471,168,286.80/706,752,430.20 = 183,953,950.80/x
  3. Step 3: Cross multiply
    471,168,286.80x = 706,752,430.20 × 183,953,950.80
  4. Step 4: Simplify right side
    471,168,286.80x = 130,009,901,772,791,248
  5. Step 5: Solve for x
    x = 130,009,901,772,791,248/471,168,286.80
  6. Step 6: Final answer
    x = 275,930,926.20

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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.