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Finding the Fourth Proportional to 777,535,500, 1,073,021,384.88 and 429,877,382.88

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Solution

The fourth proportional to 777,535,500, 1,073,021,384.88 and 429,877,382.88 is: 593,243,169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,535,500 : 1,073,021,384.88 = 429,877,382.88 : x
  2. Step 2: Convert to fraction form
    777,535,500/1,073,021,384.88 = 429,877,382.88/x
  3. Step 3: Cross multiply
    777,535,500x = 1,073,021,384.88 × 429,877,382.88
  4. Step 4: Simplify right side
    777,535,500x = 461,267,624,706,487,616
  5. Step 5: Solve for x
    x = 461,267,624,706,487,616/777,535,500
  6. Step 6: Final answer
    x = 593,243,169.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.