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Finding the Fourth Proportional to 10,765,881,602.35, 16,148,822,403.53 and 10,765,881,602.35

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Solution

The fourth proportional to 10,765,881,602.35, 16,148,822,403.53 and 10,765,881,602.35 is: 16,148,822,403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765,881,602.35 : 16,148,822,403.53 = 10,765,881,602.35 : x
  2. Step 2: Convert to fraction form
    10,765,881,602.35/16,148,822,403.53 = 10,765,881,602.35/x
  3. Step 3: Cross multiply
    10,765,881,602.35x = 16,148,822,403.53 × 10,765,881,602.35
  4. Step 4: Simplify right side
    10,765,881,602.35x = 173,856,310,013,727,309,824
  5. Step 5: Solve for x
    x = 173,856,310,013,727,309,824/10,765,881,602.35
  6. Step 6: Final answer
    x = 16,148,822,403.53

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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.