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Finding the Fourth Proportional to 647,376,006.40, 971,064,009.60 and 588,421,484.80

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Solution

The fourth proportional to 647,376,006.40, 971,064,009.60 and 588,421,484.80 is: 882,632,227.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,376,006.40 : 971,064,009.60 = 588,421,484.80 : x
  2. Step 2: Convert to fraction form
    647,376,006.40/971,064,009.60 = 588,421,484.80/x
  3. Step 3: Cross multiply
    647,376,006.40x = 971,064,009.60 × 588,421,484.80
  4. Step 4: Simplify right side
    647,376,006.40x = 571,394,926,364,673,408
  5. Step 5: Solve for x
    x = 571,394,926,364,673,408/647,376,006.40
  6. Step 6: Final answer
    x = 882,632,227.20

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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.