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Finding the Fourth Proportional to 705,650,748.64, 973,758,031.68 and 392,378,236

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Solution

The fourth proportional to 705,650,748.64, 973,758,031.68 and 392,378,236 is: 541,459,722.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,650,748.64 : 973,758,031.68 = 392,378,236 : x
  2. Step 2: Convert to fraction form
    705,650,748.64/973,758,031.68 = 392,378,236/x
  3. Step 3: Cross multiply
    705,650,748.64x = 973,758,031.68 × 392,378,236
  4. Step 4: Simplify right side
    705,650,748.64x = 382,081,458,761,430,464
  5. Step 5: Solve for x
    x = 382,081,458,761,430,464/705,650,748.64
  6. Step 6: Final answer
    x = 541,459,722.81

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