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Finding the Fourth Proportional to 537,552,750.40, 806,478,424.80 and 230,991,726.40

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Solution

The fourth proportional to 537,552,750.40, 806,478,424.80 and 230,991,726.40 is: 346,551,744.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,552,750.40 : 806,478,424.80 = 230,991,726.40 : x
  2. Step 2: Convert to fraction form
    537,552,750.40/806,478,424.80 = 230,991,726.40/x
  3. Step 3: Cross multiply
    537,552,750.40x = 806,478,424.80 × 230,991,726.40
  4. Step 4: Simplify right side
    537,552,750.40x = 186,289,843,648,904,576
  5. Step 5: Solve for x
    x = 186,289,843,648,904,576/537,552,750.40
  6. Step 6: Final answer
    x = 346,551,744.94

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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.