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Finding the Fourth Proportional to 521,521,861,497.60, 782,282,792,246.40 and 521,521,861,497.60

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Solution

The fourth proportional to 521,521,861,497.60, 782,282,792,246.40 and 521,521,861,497.60 is: 782,282,792,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,521,861,497.60 : 782,282,792,246.40 = 521,521,861,497.60 : x
  2. Step 2: Convert to fraction form
    521,521,861,497.60/782,282,792,246.40 = 521,521,861,497.60/x
  3. Step 3: Cross multiply
    521,521,861,497.60x = 782,282,792,246.40 × 521,521,861,497.60
  4. Step 4: Simplify right side
    521,521,861,497.60x = 407,977,578,029,882,818,953,216
  5. Step 5: Solve for x
    x = 407,977,578,029,882,818,953,216/521,521,861,497.60
  6. Step 6: Final answer
    x = 782,282,792,246.40

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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.