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Finding the Fourth Proportional to 10,765,881,602.60, 16,148,822,403.90 and 10,765,881,602.60

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Solution

The fourth proportional to 10,765,881,602.60, 16,148,822,403.90 and 10,765,881,602.60 is: 16,148,822,403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765,881,602.60 : 16,148,822,403.90 = 10,765,881,602.60 : x
  2. Step 2: Convert to fraction form
    10,765,881,602.60/16,148,822,403.90 = 10,765,881,602.60/x
  3. Step 3: Cross multiply
    10,765,881,602.60x = 16,148,822,403.90 × 10,765,881,602.60
  4. Step 4: Simplify right side
    10,765,881,602.60x = 173,856,310,021,801,705,472
  5. Step 5: Solve for x
    x = 173,856,310,021,801,705,472/10,765,881,602.60
  6. Step 6: Final answer
    x = 16,148,822,403.90

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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.