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Finding the Fourth Proportional to 298,936,065.40, 448,404,098.14 and 298,936,065.40

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Solution

The fourth proportional to 298,936,065.40, 448,404,098.14 and 298,936,065.40 is: 448,404,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,936,065.40 : 448,404,098.14 = 298,936,065.40 : x
  2. Step 2: Convert to fraction form
    298,936,065.40/448,404,098.14 = 298,936,065.40/x
  3. Step 3: Cross multiply
    298,936,065.40x = 448,404,098.14 × 298,936,065.40
  4. Step 4: Simplify right side
    298,936,065.40x = 134,044,156,807,207,040
  5. Step 5: Solve for x
    x = 134,044,156,807,207,040/298,936,065.40
  6. Step 6: Final answer
    x = 448,404,098.14

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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.