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Finding the Fourth Proportional to 310,529,862.20, 464,898,998.10 and 310,529,862.20

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Solution

The fourth proportional to 310,529,862.20, 464,898,998.10 and 310,529,862.20 is: 464,898,998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,529,862.20 : 464,898,998.10 = 310,529,862.20 : x
  2. Step 2: Convert to fraction form
    310,529,862.20/464,898,998.10 = 310,529,862.20/x
  3. Step 3: Cross multiply
    310,529,862.20x = 464,898,998.10 × 310,529,862.20
  4. Step 4: Simplify right side
    310,529,862.20x = 144,365,021,816,911,072
  5. Step 5: Solve for x
    x = 144,365,021,816,911,072/310,529,862.20
  6. Step 6: Final answer
    x = 464,898,998.10

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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.