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Finding the Fourth Proportional to 5,280,397,778,980, 7,920,596,668,470.10 and 5,280,397,778,980

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Solution

The fourth proportional to 5,280,397,778,980, 7,920,596,668,470.10 and 5,280,397,778,980 is: 7,920,596,668,470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280,397,778,980 : 7,920,596,668,470.10 = 5,280,397,778,980 : x
  2. Step 2: Convert to fraction form
    5,280,397,778,980/7,920,596,668,470.10 = 5,280,397,778,980/x
  3. Step 3: Cross multiply
    5,280,397,778,980x = 7,920,596,668,470.10 × 5,280,397,778,980
  4. Step 4: Simplify right side
    5,280,397,778,980x = 41,823,901,056,385,904,225,026,048
  5. Step 5: Solve for x
    x = 41,823,901,056,385,904,225,026,048/5,280,397,778,980
  6. Step 6: Final answer
    x = 7,920,596,668,470.10

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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.