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Finding the Fourth Proportional to 777,535,512, 1,073,021,401.44 and 429,877,394.88

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Solution

The fourth proportional to 777,535,512, 1,073,021,401.44 and 429,877,394.88 is: 593,243,186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,535,512 : 1,073,021,401.44 = 429,877,394.88 : x
  2. Step 2: Convert to fraction form
    777,535,512/1,073,021,401.44 = 429,877,394.88/x
  3. Step 3: Cross multiply
    777,535,512x = 1,073,021,401.44 × 429,877,394.88
  4. Step 4: Simplify right side
    777,535,512x = 461,267,644,701,513,920
  5. Step 5: Solve for x
    x = 461,267,644,701,513,920/777,535,512
  6. Step 6: Final answer
    x = 593,243,186.43

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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.