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Finding the Fourth Proportional to 162,920,687,032.60, 244,381,030,548.90 and 162,920,687,032.60

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Solution

The fourth proportional to 162,920,687,032.60, 244,381,030,548.90 and 162,920,687,032.60 is: 244,381,030,548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,920,687,032.60 : 244,381,030,548.90 = 162,920,687,032.60 : x
  2. Step 2: Convert to fraction form
    162,920,687,032.60/244,381,030,548.90 = 162,920,687,032.60/x
  3. Step 3: Cross multiply
    162,920,687,032.60x = 244,381,030,548.90 × 162,920,687,032.60
  4. Step 4: Simplify right side
    162,920,687,032.60x = 39,814,725,394,761,600,991,232
  5. Step 5: Solve for x
    x = 39,814,725,394,761,600,991,232/162,920,687,032.60
  6. Step 6: Final answer
    x = 244,381,030,548.90

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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.