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Finding the Fourth Proportional to 298,926,320.40, 448,578,437.40 and 176,104,400.40

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Solution

The fourth proportional to 298,926,320.40, 448,578,437.40 and 176,104,400.40 is: 264,267,919.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,926,320.40 : 448,578,437.40 = 176,104,400.40 : x
  2. Step 2: Convert to fraction form
    298,926,320.40/448,578,437.40 = 176,104,400.40/x
  3. Step 3: Cross multiply
    298,926,320.40x = 448,578,437.40 × 176,104,400.40
  4. Step 4: Simplify right side
    298,926,320.40x = 78,996,636,750,695,936
  5. Step 5: Solve for x
    x = 78,996,636,750,695,936/298,926,320.40
  6. Step 6: Final answer
    x = 264,267,919.42

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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.