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Finding the Fourth Proportional to 477,043,596.48, 715,566,502.80 and 145,053,652.80

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Solution

The fourth proportional to 477,043,596.48, 715,566,502.80 and 145,053,652.80 is: 217,580,816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,043,596.48 : 715,566,502.80 = 145,053,652.80 : x
  2. Step 2: Convert to fraction form
    477,043,596.48/715,566,502.80 = 145,053,652.80/x
  3. Step 3: Cross multiply
    477,043,596.48x = 715,566,502.80 × 145,053,652.80
  4. Step 4: Simplify right side
    477,043,596.48x = 103,795,535,052,461,424
  5. Step 5: Solve for x
    x = 103,795,535,052,461,424/477,043,596.48
  6. Step 6: Final answer
    x = 217,580,816.13

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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.