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Finding the Fourth Proportional to 145,582,334,140.90, 218,373,501,211.35 and 145,582,334,140.90

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Solution

The fourth proportional to 145,582,334,140.90, 218,373,501,211.35 and 145,582,334,140.90 is: 218,373,501,211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,582,334,140.90 : 218,373,501,211.35 = 145,582,334,140.90 : x
  2. Step 2: Convert to fraction form
    145,582,334,140.90/218,373,501,211.35 = 145,582,334,140.90/x
  3. Step 3: Cross multiply
    145,582,334,140.90x = 218,373,501,211.35 × 145,582,334,140.90
  4. Step 4: Simplify right side
    145,582,334,140.90x = 31,791,324,020,868,984,602,624
  5. Step 5: Solve for x
    x = 31,791,324,020,868,984,602,624/145,582,334,140.90
  6. Step 6: Final answer
    x = 218,373,501,211.35

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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.