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Finding the Fourth Proportional to 471,289,752,001.10, 706,934,628,001.70 and 471,289,752,001.10

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Solution

The fourth proportional to 471,289,752,001.10, 706,934,628,001.70 and 471,289,752,001.10 is: 706,934,628,001.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,289,752,001.10 : 706,934,628,001.70 = 471,289,752,001.10 : x
  2. Step 2: Convert to fraction form
    471,289,752,001.10/706,934,628,001.70 = 471,289,752,001.10/x
  3. Step 3: Cross multiply
    471,289,752,001.10x = 706,934,628,001.70 × 471,289,752,001.10
  4. Step 4: Simplify right side
    471,289,752,001.10x = 333,171,045,511,911,031,439,360
  5. Step 5: Solve for x
    x = 333,171,045,511,911,031,439,360/471,289,752,001.10
  6. Step 6: Final answer
    x = 706,934,628,001.70

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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.