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Finding the Fourth Proportional to 5,280,397,778,904, 7,920,596,668,355 and 5,280,397,778,904

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Solution

The fourth proportional to 5,280,397,778,904, 7,920,596,668,355 and 5,280,397,778,904 is: 7,920,596,668,355

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280,397,778,904 : 7,920,596,668,355 = 5,280,397,778,904 : x
  2. Step 2: Convert to fraction form
    5,280,397,778,904/7,920,596,668,355 = 5,280,397,778,904/x
  3. Step 3: Cross multiply
    5,280,397,778,904x = 7,920,596,668,355 × 5,280,397,778,904
  4. Step 4: Simplify right side
    5,280,397,778,904x = 41,823,901,055,176,166,556,565,504
  5. Step 5: Solve for x
    x = 41,823,901,055,176,166,556,565,504/5,280,397,778,904
  6. Step 6: Final answer
    x = 7,920,596,668,355

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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.