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Finding the Fourth Proportional to 64,703,402,214.40, 97,055,103,321.60 and 64,703,402,214.40

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Solution

The fourth proportional to 64,703,402,214.40, 97,055,103,321.60 and 64,703,402,214.40 is: 97,055,103,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,703,402,214.40 : 97,055,103,321.60 = 64,703,402,214.40 : x
  2. Step 2: Convert to fraction form
    64,703,402,214.40/97,055,103,321.60 = 64,703,402,214.40/x
  3. Step 3: Cross multiply
    64,703,402,214.40x = 97,055,103,321.60 × 64,703,402,214.40
  4. Step 4: Simplify right side
    64,703,402,214.40x = 6,279,795,387,177,634,889,728
  5. Step 5: Solve for x
    x = 6,279,795,387,177,634,889,728/64,703,402,214.40
  6. Step 6: Final answer
    x = 97,055,103,321.60

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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.