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Finding the Fourth Proportional to 647,353,920.90, 971,030,881.35 and 588,045,105.30

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Solution

The fourth proportional to 647,353,920.90, 971,030,881.35 and 588,045,105.30 is: 882,067,657.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,353,920.90 : 971,030,881.35 = 588,045,105.30 : x
  2. Step 2: Convert to fraction form
    647,353,920.90/971,030,881.35 = 588,045,105.30/x
  3. Step 3: Cross multiply
    647,353,920.90x = 971,030,881.35 × 588,045,105.30
  4. Step 4: Simplify right side
    647,353,920.90x = 571,009,956,873,012,544
  5. Step 5: Solve for x
    x = 571,009,956,873,012,544/647,353,920.90
  6. Step 6: Final answer
    x = 882,067,657.95

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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.