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Finding the Fourth Proportional to 406,962,792,051.60, 610,444,188,077.40 and 406,962,792,051.60

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Solution

The fourth proportional to 406,962,792,051.60, 610,444,188,077.40 and 406,962,792,051.60 is: 610,444,188,077.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,962,792,051.60 : 610,444,188,077.40 = 406,962,792,051.60 : x
  2. Step 2: Convert to fraction form
    406,962,792,051.60/610,444,188,077.40 = 406,962,792,051.60/x
  3. Step 3: Cross multiply
    406,962,792,051.60x = 610,444,188,077.40 × 406,962,792,051.60
  4. Step 4: Simplify right side
    406,962,792,051.60x = 248,428,071,171,650,729,541,632
  5. Step 5: Solve for x
    x = 248,428,071,171,650,729,541,632/406,962,792,051.60
  6. Step 6: Final answer
    x = 610,444,188,077.40

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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.