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Finding the Fourth Proportional to 30,343,801,824.90, 45,515,702,737.35 and 30,343,801,824.90

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Solution

The fourth proportional to 30,343,801,824.90, 45,515,702,737.35 and 30,343,801,824.90 is: 45,515,702,737.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,343,801,824.90 : 45,515,702,737.35 = 30,343,801,824.90 : x
  2. Step 2: Convert to fraction form
    30,343,801,824.90/45,515,702,737.35 = 30,343,801,824.90/x
  3. Step 3: Cross multiply
    30,343,801,824.90x = 45,515,702,737.35 × 30,343,801,824.90
  4. Step 4: Simplify right side
    30,343,801,824.90x = 1,381,119,463,783,206,748,160
  5. Step 5: Solve for x
    x = 1,381,119,463,783,206,748,160/30,343,801,824.90
  6. Step 6: Final answer
    x = 45,515,702,737.35

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1.5x scale

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.