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Finding the Fourth Proportional to 384,912,010.80, 577,368,016.20 and 97,697,674.80

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Solution

The fourth proportional to 384,912,010.80, 577,368,016.20 and 97,697,674.80 is: 146,546,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,912,010.80 : 577,368,016.20 = 97,697,674.80 : x
  2. Step 2: Convert to fraction form
    384,912,010.80/577,368,016.20 = 97,697,674.80/x
  3. Step 3: Cross multiply
    384,912,010.80x = 577,368,016.20 × 97,697,674.80
  4. Step 4: Simplify right side
    384,912,010.80x = 56,407,512,686,628,736
  5. Step 5: Solve for x
    x = 56,407,512,686,628,736/384,912,010.80
  6. Step 6: Final answer
    x = 146,546,512.20

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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.