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Finding the Fourth Proportional to 98,663,722.80, 147,995,584.20 and 97,152,068.40

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Solution

The fourth proportional to 98,663,722.80, 147,995,584.20 and 97,152,068.40 is: 145,728,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,663,722.80 : 147,995,584.20 = 97,152,068.40 : x
  2. Step 2: Convert to fraction form
    98,663,722.80/147,995,584.20 = 97,152,068.40/x
  3. Step 3: Cross multiply
    98,663,722.80x = 147,995,584.20 × 97,152,068.40
  4. Step 4: Simplify right side
    98,663,722.80x = 14,378,077,119,096,360
  5. Step 5: Solve for x
    x = 14,378,077,119,096,360/98,663,722.80
  6. Step 6: Final answer
    x = 145,728,102.60

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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.