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Finding the Fourth Proportional to 298,145,842.98, 447,218,878.08 and 297,715,009.01

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Solution

The fourth proportional to 298,145,842.98, 447,218,878.08 and 297,715,009.01 is: 446,572,626.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,145,842.98 : 447,218,878.08 = 297,715,009.01 : x
  2. Step 2: Convert to fraction form
    298,145,842.98/447,218,878.08 = 297,715,009.01/x
  3. Step 3: Cross multiply
    298,145,842.98x = 447,218,878.08 × 297,715,009.01
  4. Step 4: Simplify right side
    298,145,842.98x = 133,143,772,314,793,184
  5. Step 5: Solve for x
    x = 133,143,772,314,793,184/298,145,842.98
  6. Step 6: Final answer
    x = 446,572,626.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.