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Finding the Fourth Proportional to 778,494,421.65, 1,074,325,149.14 and 421,262,201.50

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Solution

The fourth proportional to 778,494,421.65, 1,074,325,149.14 and 421,262,201.50 is: 581,343,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,494,421.65 : 1,074,325,149.14 = 421,262,201.50 : x
  2. Step 2: Convert to fraction form
    778,494,421.65/1,074,325,149.14 = 421,262,201.50/x
  3. Step 3: Cross multiply
    778,494,421.65x = 1,074,325,149.14 × 421,262,201.50
  4. Step 4: Simplify right side
    778,494,421.65x = 452,572,577,455,957,376
  5. Step 5: Solve for x
    x = 452,572,577,455,957,376/778,494,421.65
  6. Step 6: Final answer
    x = 581,343,378.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.