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Finding the Fourth Proportional to 97,802,032.60, 146,384,184.30 and 97,802,032.60

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Solution

The fourth proportional to 97,802,032.60, 146,384,184.30 and 97,802,032.60 is: 146,384,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,802,032.60 : 146,384,184.30 = 97,802,032.60 : x
  2. Step 2: Convert to fraction form
    97,802,032.60/146,384,184.30 = 97,802,032.60/x
  3. Step 3: Cross multiply
    97,802,032.60x = 146,384,184.30 × 97,802,032.60
  4. Step 4: Simplify right side
    97,802,032.60x = 14,316,670,765,033,008
  5. Step 5: Solve for x
    x = 14,316,670,765,033,008/97,802,032.60
  6. Step 6: Final answer
    x = 146,384,184.30

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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.