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Finding the Fourth Proportional to 472,392,867.60, 708,589,301.40 and 357,601,611.60

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Solution

The fourth proportional to 472,392,867.60, 708,589,301.40 and 357,601,611.60 is: 536,402,417.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,867.60 : 708,589,301.40 = 357,601,611.60 : x
  2. Step 2: Convert to fraction form
    472,392,867.60/708,589,301.40 = 357,601,611.60/x
  3. Step 3: Cross multiply
    472,392,867.60x = 708,589,301.40 × 357,601,611.60
  4. Step 4: Simplify right side
    472,392,867.60x = 253,392,676,143,158,144
  5. Step 5: Solve for x
    x = 253,392,676,143,158,144/472,392,867.60
  6. Step 6: Final answer
    x = 536,402,417.40

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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.