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Finding the Fourth Proportional to 5,280,397,778,966, 7,920,596,668,449 and 5,280,397,778,966

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Solution

The fourth proportional to 5,280,397,778,966, 7,920,596,668,449 and 5,280,397,778,966 is: 7,920,596,668,449

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280,397,778,966 : 7,920,596,668,449 = 5,280,397,778,966 : x
  2. Step 2: Convert to fraction form
    5,280,397,778,966/7,920,596,668,449 = 5,280,397,778,966/x
  3. Step 3: Cross multiply
    5,280,397,778,966x = 7,920,596,668,449 × 5,280,397,778,966
  4. Step 4: Simplify right side
    5,280,397,778,966x = 41,823,901,056,163,596,717,785,088
  5. Step 5: Solve for x
    x = 41,823,901,056,163,596,717,785,088/5,280,397,778,966
  6. Step 6: Final answer
    x = 7,920,596,668,449

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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.