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Finding the Fourth Proportional to 98,118,045,378.80, 147,177,068,068.20 and 98,118,045,378.80

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Solution

The fourth proportional to 98,118,045,378.80, 147,177,068,068.20 and 98,118,045,378.80 is: 147,177,068,068.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,118,045,378.80 : 147,177,068,068.20 = 98,118,045,378.80 : x
  2. Step 2: Convert to fraction form
    98,118,045,378.80/147,177,068,068.20 = 98,118,045,378.80/x
  3. Step 3: Cross multiply
    98,118,045,378.80x = 147,177,068,068.20 × 98,118,045,378.80
  4. Step 4: Simplify right side
    98,118,045,378.80x = 14,440,726,243,434,385,375,232
  5. Step 5: Solve for x
    x = 14,440,726,243,434,385,375,232/98,118,045,378.80
  6. Step 6: Final answer
    x = 147,177,068,068.20

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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.