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Finding the Fourth Proportional to 502,662,745.58, 754,103,191.34 and 152,899,722.97

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Solution

The fourth proportional to 502,662,745.58, 754,103,191.34 and 152,899,722.97 is: 229,382,762.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,662,745.58 : 754,103,191.34 = 152,899,722.97 : x
  2. Step 2: Convert to fraction form
    502,662,745.58/754,103,191.34 = 152,899,722.97/x
  3. Step 3: Cross multiply
    502,662,745.58x = 754,103,191.34 × 152,899,722.97
  4. Step 4: Simplify right side
    502,662,745.58x = 115,302,169,045,175,888
  5. Step 5: Solve for x
    x = 115,302,169,045,175,888/502,662,745.58
  6. Step 6: Final answer
    x = 229,382,762.22

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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.