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Finding the Fourth Proportional to 42,909,696,230.80, 64,364,544,346.20 and 42,909,696,230.80

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Solution

The fourth proportional to 42,909,696,230.80, 64,364,544,346.20 and 42,909,696,230.80 is: 64,364,544,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,909,696,230.80 : 64,364,544,346.20 = 42,909,696,230.80 : x
  2. Step 2: Convert to fraction form
    42,909,696,230.80/64,364,544,346.20 = 42,909,696,230.80/x
  3. Step 3: Cross multiply
    42,909,696,230.80x = 64,364,544,346.20 × 42,909,696,230.80
  4. Step 4: Simplify right side
    42,909,696,230.80x = 2,761,863,045,929,297,772,544
  5. Step 5: Solve for x
    x = 2,761,863,045,929,297,772,544/42,909,696,230.80
  6. Step 6: Final answer
    x = 64,364,544,346.20

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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.