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Finding the Fourth Proportional to 65,011,883,670.45, 97,517,825,505.68 and 65,011,883,670.45

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Solution

The fourth proportional to 65,011,883,670.45, 97,517,825,505.68 and 65,011,883,670.45 is: 97,517,825,505.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,011,883,670.45 : 97,517,825,505.68 = 65,011,883,670.45 : x
  2. Step 2: Convert to fraction form
    65,011,883,670.45/97,517,825,505.68 = 65,011,883,670.45/x
  3. Step 3: Cross multiply
    65,011,883,670.45x = 97,517,825,505.68 × 65,011,883,670.45
  4. Step 4: Simplify right side
    65,011,883,670.45x = 6,339,817,527,570,184,798,208
  5. Step 5: Solve for x
    x = 6,339,817,527,570,184,798,208/65,011,883,670.45
  6. Step 6: Final answer
    x = 97,517,825,505.68

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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.