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Finding the Fourth Proportional to 242,238,305.60, 363,357,458.40 and 242,238,305.60

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Solution

The fourth proportional to 242,238,305.60, 363,357,458.40 and 242,238,305.60 is: 363,357,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,238,305.60 : 363,357,458.40 = 242,238,305.60 : x
  2. Step 2: Convert to fraction form
    242,238,305.60/363,357,458.40 = 242,238,305.60/x
  3. Step 3: Cross multiply
    242,238,305.60x = 363,357,458.40 × 242,238,305.60
  4. Step 4: Simplify right side
    242,238,305.60x = 88,019,095,049,938,480
  5. Step 5: Solve for x
    x = 88,019,095,049,938,480/242,238,305.60
  6. Step 6: Final answer
    x = 363,357,458.40

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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.