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Finding the Fourth Proportional to 242,271,296.70, 363,406,945.05 and 242,271,296.70

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Solution

The fourth proportional to 242,271,296.70, 363,406,945.05 and 242,271,296.70 is: 363,406,945.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,271,296.70 : 363,406,945.05 = 242,271,296.70 : x
  2. Step 2: Convert to fraction form
    242,271,296.70/363,406,945.05 = 242,271,296.70/x
  3. Step 3: Cross multiply
    242,271,296.70x = 363,406,945.05 × 242,271,296.70
  4. Step 4: Simplify right side
    242,271,296.70x = 88,043,071,807,049,152
  5. Step 5: Solve for x
    x = 88,043,071,807,049,152/242,271,296.70
  6. Step 6: Final answer
    x = 363,406,945.05

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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.