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Finding the Fourth Proportional to 98,118,045,140.05, 147,177,067,710.08 and 98,118,045,140.05

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Solution

The fourth proportional to 98,118,045,140.05, 147,177,067,710.08 and 98,118,045,140.05 is: 147,177,067,710.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,118,045,140.05 : 147,177,067,710.08 = 98,118,045,140.05 : x
  2. Step 2: Convert to fraction form
    98,118,045,140.05/147,177,067,710.08 = 98,118,045,140.05/x
  3. Step 3: Cross multiply
    98,118,045,140.05x = 147,177,067,710.08 × 98,118,045,140.05
  4. Step 4: Simplify right side
    98,118,045,140.05x = 14,440,726,173,157,823,610,880
  5. Step 5: Solve for x
    x = 14,440,726,173,157,823,610,880/98,118,045,140.05
  6. Step 6: Final answer
    x = 147,177,067,710.08

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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.