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Finding the Fourth Proportional to 5,280,397,778,976, 7,920,596,668,464 and 5,280,397,778,976

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Solution

The fourth proportional to 5,280,397,778,976, 7,920,596,668,464 and 5,280,397,778,976 is: 7,920,596,668,464

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280,397,778,976 : 7,920,596,668,464 = 5,280,397,778,976 : x
  2. Step 2: Convert to fraction form
    5,280,397,778,976/7,920,596,668,464 = 5,280,397,778,976/x
  3. Step 3: Cross multiply
    5,280,397,778,976x = 7,920,596,668,464 × 5,280,397,778,976
  4. Step 4: Simplify right side
    5,280,397,778,976x = 41,823,901,056,322,012,291,530,752
  5. Step 5: Solve for x
    x = 41,823,901,056,322,012,291,530,752/5,280,397,778,976
  6. Step 6: Final answer
    x = 7,920,596,668,464

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1.5x scale

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.