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Finding the Fourth Proportional to 10,291,133,944.05, 15,407,644,379.40 and 10,291,133,944.05

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Solution

The fourth proportional to 10,291,133,944.05, 15,407,644,379.40 and 10,291,133,944.05 is: 15,407,644,379.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291,133,944.05 : 15,407,644,379.40 = 10,291,133,944.05 : x
  2. Step 2: Convert to fraction form
    10,291,133,944.05/15,407,644,379.40 = 10,291,133,944.05/x
  3. Step 3: Cross multiply
    10,291,133,944.05x = 15,407,644,379.40 × 10,291,133,944.05
  4. Step 4: Simplify right side
    10,291,133,944.05x = 158,562,132,070,694,518,784
  5. Step 5: Solve for x
    x = 158,562,132,070,694,518,784/10,291,133,944.05
  6. Step 6: Final answer
    x = 15,407,644,379.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.