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Finding the Fourth Proportional to 30,343,801,829.90, 45,515,702,744.85 and 30,343,801,829.90

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Solution

The fourth proportional to 30,343,801,829.90, 45,515,702,744.85 and 30,343,801,829.90 is: 45,515,702,744.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,343,801,829.90 : 45,515,702,744.85 = 30,343,801,829.90 : x
  2. Step 2: Convert to fraction form
    30,343,801,829.90/45,515,702,744.85 = 30,343,801,829.90/x
  3. Step 3: Cross multiply
    30,343,801,829.90x = 45,515,702,744.85 × 30,343,801,829.90
  4. Step 4: Simplify right side
    30,343,801,829.90x = 1,381,119,464,238,363,967,488
  5. Step 5: Solve for x
    x = 1,381,119,464,238,363,967,488/30,343,801,829.90
  6. Step 6: Final answer
    x = 45,515,702,744.85

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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.