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Finding the Fourth Proportional to 162,920,687,031.10, 244,381,030,546.65 and 162,920,687,031.10

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Solution

The fourth proportional to 162,920,687,031.10, 244,381,030,546.65 and 162,920,687,031.10 is: 244,381,030,546.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,920,687,031.10 : 244,381,030,546.65 = 162,920,687,031.10 : x
  2. Step 2: Convert to fraction form
    162,920,687,031.10/244,381,030,546.65 = 162,920,687,031.10/x
  3. Step 3: Cross multiply
    162,920,687,031.10x = 244,381,030,546.65 × 162,920,687,031.10
  4. Step 4: Simplify right side
    162,920,687,031.10x = 39,814,725,394,028,453,429,248
  5. Step 5: Solve for x
    x = 39,814,725,394,028,453,429,248/162,920,687,031.10
  6. Step 6: Final answer
    x = 244,381,030,546.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.