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Finding the Fourth Proportional to 489,898,809.60, 734,848,214.40 and 367,454,803.20

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Solution

The fourth proportional to 489,898,809.60, 734,848,214.40 and 367,454,803.20 is: 551,182,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,898,809.60 : 734,848,214.40 = 367,454,803.20 : x
  2. Step 2: Convert to fraction form
    489,898,809.60/734,848,214.40 = 367,454,803.20/x
  3. Step 3: Cross multiply
    489,898,809.60x = 734,848,214.40 × 367,454,803.20
  4. Step 4: Simplify right side
    489,898,809.60x = 270,023,506,004,223,392
  5. Step 5: Solve for x
    x = 270,023,506,004,223,392/489,898,809.60
  6. Step 6: Final answer
    x = 551,182,204.80

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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.