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Finding the Fourth Proportional to 471,289,752,004.60, 706,934,628,006.80 and 471,289,752,004.60

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Solution

The fourth proportional to 471,289,752,004.60, 706,934,628,006.80 and 471,289,752,004.60 is: 706,934,628,006.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,289,752,004.60 : 706,934,628,006.80 = 471,289,752,004.60 : x
  2. Step 2: Convert to fraction form
    471,289,752,004.60/706,934,628,006.80 = 471,289,752,004.60/x
  3. Step 3: Cross multiply
    471,289,752,004.60x = 706,934,628,006.80 × 471,289,752,004.60
  4. Step 4: Simplify right side
    471,289,752,004.60x = 333,171,045,516,788,906,328,064
  5. Step 5: Solve for x
    x = 333,171,045,516,788,906,328,064/471,289,752,004.60
  6. Step 6: Final answer
    x = 706,934,628,006.80

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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.