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Finding the Fourth Proportional to 4,013,145,145.80, 6,019,717,718.70 and 4,013,145,145.80

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Solution

The fourth proportional to 4,013,145,145.80, 6,019,717,718.70 and 4,013,145,145.80 is: 6,019,717,718.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,013,145,145.80 : 6,019,717,718.70 = 4,013,145,145.80 : x
  2. Step 2: Convert to fraction form
    4,013,145,145.80/6,019,717,718.70 = 4,013,145,145.80/x
  3. Step 3: Cross multiply
    4,013,145,145.80x = 6,019,717,718.70 × 4,013,145,145.80
  4. Step 4: Simplify right side
    4,013,145,145.80x = 24,158,000,941,887,156,224
  5. Step 5: Solve for x
    x = 24,158,000,941,887,156,224/4,013,145,145.80
  6. Step 6: Final answer
    x = 6,019,717,718.70

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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.