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Finding the Fourth Proportional to 32,223,058,438.40, 48,334,587,657.60 and 32,223,058,438.40

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Solution

The fourth proportional to 32,223,058,438.40, 48,334,587,657.60 and 32,223,058,438.40 is: 48,334,587,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,223,058,438.40 : 48,334,587,657.60 = 32,223,058,438.40 : x
  2. Step 2: Convert to fraction form
    32,223,058,438.40/48,334,587,657.60 = 32,223,058,438.40/x
  3. Step 3: Cross multiply
    32,223,058,438.40x = 48,334,587,657.60 × 32,223,058,438.40
  4. Step 4: Simplify right side
    32,223,058,438.40x = 1,557,488,242,686,812,225,536
  5. Step 5: Solve for x
    x = 1,557,488,242,686,812,225,536/32,223,058,438.40
  6. Step 6: Final answer
    x = 48,334,587,657.60

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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.