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Finding the Fourth Proportional to 384,912,672.70, 577,369,009.05 and 180,461,415.10

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Solution

The fourth proportional to 384,912,672.70, 577,369,009.05 and 180,461,415.10 is: 270,692,122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,912,672.70 : 577,369,009.05 = 180,461,415.10 : x
  2. Step 2: Convert to fraction form
    384,912,672.70/577,369,009.05 = 180,461,415.10/x
  3. Step 3: Cross multiply
    384,912,672.70x = 577,369,009.05 × 180,461,415.10
  4. Step 4: Simplify right side
    384,912,672.70x = 104,192,828,408,047,696
  5. Step 5: Solve for x
    x = 104,192,828,408,047,696/384,912,672.70
  6. Step 6: Final answer
    x = 270,692,122.65

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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.