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Finding the Fourth Proportional to 406,003,120,904.40, 609,004,681,356.60 and 406,003,120,904.40

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Solution

The fourth proportional to 406,003,120,904.40, 609,004,681,356.60 and 406,003,120,904.40 is: 609,004,681,356.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,003,120,904.40 : 609,004,681,356.60 = 406,003,120,904.40 : x
  2. Step 2: Convert to fraction form
    406,003,120,904.40/609,004,681,356.60 = 406,003,120,904.40/x
  3. Step 3: Cross multiply
    406,003,120,904.40x = 609,004,681,356.60 × 406,003,120,904.40
  4. Step 4: Simplify right side
    406,003,120,904.40x = 247,257,801,276,169,268,494,336
  5. Step 5: Solve for x
    x = 247,257,801,276,169,268,494,336/406,003,120,904.40
  6. Step 6: Final answer
    x = 609,004,681,356.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.