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Finding the Fourth Proportional to 353,942,012,616.10, 530,913,018,924.15 and 353,942,012,616.10

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Solution

The fourth proportional to 353,942,012,616.10, 530,913,018,924.15 and 353,942,012,616.10 is: 530,913,018,924.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,942,012,616.10 : 530,913,018,924.15 = 353,942,012,616.10 : x
  2. Step 2: Convert to fraction form
    353,942,012,616.10/530,913,018,924.15 = 353,942,012,616.10/x
  3. Step 3: Cross multiply
    353,942,012,616.10x = 530,913,018,924.15 × 353,942,012,616.10
  4. Step 4: Simplify right side
    353,942,012,616.10x = 187,912,422,442,103,224,664,064
  5. Step 5: Solve for x
    x = 187,912,422,442,103,224,664,064/353,942,012,616.10
  6. Step 6: Final answer
    x = 530,913,018,924.15

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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.