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Finding the Fourth Proportional to 647,375,999.40, 971,063,999.10 and 588,421,477.80

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Solution

The fourth proportional to 647,375,999.40, 971,063,999.10 and 588,421,477.80 is: 882,632,216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,375,999.40 : 971,063,999.10 = 588,421,477.80 : x
  2. Step 2: Convert to fraction form
    647,375,999.40/971,063,999.10 = 588,421,477.80/x
  3. Step 3: Cross multiply
    647,375,999.40x = 971,063,999.10 × 588,421,477.80
  4. Step 4: Simplify right side
    647,375,999.40x = 571,394,913,388,799,808
  5. Step 5: Solve for x
    x = 571,394,913,388,799,808/647,375,999.40
  6. Step 6: Final answer
    x = 882,632,216.70

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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.