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Finding the Fourth Proportional to 70,476,101.10, 98,893,289.70 and 70,476,101.10

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Solution

The fourth proportional to 70,476,101.10, 98,893,289.70 and 70,476,101.10 is: 98,893,289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,476,101.10 : 98,893,289.70 = 70,476,101.10 : x
  2. Step 2: Convert to fraction form
    70,476,101.10/98,893,289.70 = 70,476,101.10/x
  3. Step 3: Cross multiply
    70,476,101.10x = 98,893,289.70 × 70,476,101.10
  4. Step 4: Simplify right side
    70,476,101.10x = 6,969,613,483,008,788
  5. Step 5: Solve for x
    x = 6,969,613,483,008,788/70,476,101.10
  6. Step 6: Final answer
    x = 98,893,289.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.