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Finding the Fourth Proportional to 361,601,664,005.60, 542,402,496,008.40 and 361,601,664,005.60

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Solution

The fourth proportional to 361,601,664,005.60, 542,402,496,008.40 and 361,601,664,005.60 is: 542,402,496,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,601,664,005.60 : 542,402,496,008.40 = 361,601,664,005.60 : x
  2. Step 2: Convert to fraction form
    361,601,664,005.60/542,402,496,008.40 = 361,601,664,005.60/x
  3. Step 3: Cross multiply
    361,601,664,005.60x = 542,402,496,008.40 × 361,601,664,005.60
  4. Step 4: Simplify right side
    361,601,664,005.60x = 196,133,645,117,428,238,123,008
  5. Step 5: Solve for x
    x = 196,133,645,117,428,238,123,008/361,601,664,005.60
  6. Step 6: Final answer
    x = 542,402,496,008.40

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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.