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Finding the Fourth Proportional to 315,103,666.35, 471,805,193.93 and 315,103,666.35

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Solution

The fourth proportional to 315,103,666.35, 471,805,193.93 and 315,103,666.35 is: 471,805,193.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,103,666.35 : 471,805,193.93 = 315,103,666.35 : x
  2. Step 2: Convert to fraction form
    315,103,666.35/471,805,193.93 = 315,103,666.35/x
  3. Step 3: Cross multiply
    315,103,666.35x = 471,805,193.93 × 315,103,666.35
  4. Step 4: Simplify right side
    315,103,666.35x = 148,667,546,408,740,256
  5. Step 5: Solve for x
    x = 148,667,546,408,740,256/315,103,666.35
  6. Step 6: Final answer
    x = 471,805,193.93

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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.