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Finding the Fourth Proportional to 145,582,655,510.78, 218,373,983,266.17 and 145,582,655,510.78

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Solution

The fourth proportional to 145,582,655,510.78, 218,373,983,266.17 and 145,582,655,510.78 is: 218,373,983,266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,582,655,510.78 : 218,373,983,266.17 = 145,582,655,510.78 : x
  2. Step 2: Convert to fraction form
    145,582,655,510.78/218,373,983,266.17 = 145,582,655,510.78/x
  3. Step 3: Cross multiply
    145,582,655,510.78x = 218,373,983,266.17 × 145,582,655,510.78
  4. Step 4: Simplify right side
    145,582,655,510.78x = 31,791,464,378,355,666,649,088
  5. Step 5: Solve for x
    x = 31,791,464,378,355,666,649,088/145,582,655,510.78
  6. Step 6: Final answer
    x = 218,373,983,266.17

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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.