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Finding the Fourth Proportional to 97,116,098.40, 145,674,147.60 and 97,116,098.40

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Solution

The fourth proportional to 97,116,098.40, 145,674,147.60 and 97,116,098.40 is: 145,674,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,116,098.40 : 145,674,147.60 = 97,116,098.40 : x
  2. Step 2: Convert to fraction form
    97,116,098.40/145,674,147.60 = 97,116,098.40/x
  3. Step 3: Cross multiply
    97,116,098.40x = 145,674,147.60 × 97,116,098.40
  4. Step 4: Simplify right side
    97,116,098.40x = 14,147,304,852,657,724
  5. Step 5: Solve for x
    x = 14,147,304,852,657,724/97,116,098.40
  6. Step 6: Final answer
    x = 145,674,147.60

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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.