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Finding the Fourth Proportional to 489,945,132,023.40, 734,917,698,035.10 and 489,945,132,023.40

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Solution

The fourth proportional to 489,945,132,023.40, 734,917,698,035.10 and 489,945,132,023.40 is: 734,917,698,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,945,132,023.40 : 734,917,698,035.10 = 489,945,132,023.40 : x
  2. Step 2: Convert to fraction form
    489,945,132,023.40/734,917,698,035.10 = 489,945,132,023.40/x
  3. Step 3: Cross multiply
    489,945,132,023.40x = 734,917,698,035.10 × 489,945,132,023.40
  4. Step 4: Simplify right side
    489,945,132,023.40x = 360,069,348,590,140,304,392,192
  5. Step 5: Solve for x
    x = 360,069,348,590,140,304,392,192/489,945,132,023.40
  6. Step 6: Final answer
    x = 734,917,698,035.10

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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.