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Finding the Fourth Proportional to 556,313,472,003.80, 834,470,208,005.70 and 556,313,472,003.80

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Solution

The fourth proportional to 556,313,472,003.80, 834,470,208,005.70 and 556,313,472,003.80 is: 834,470,208,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,313,472,003.80 : 834,470,208,005.70 = 556,313,472,003.80 : x
  2. Step 2: Convert to fraction form
    556,313,472,003.80/834,470,208,005.70 = 556,313,472,003.80/x
  3. Step 3: Cross multiply
    556,313,472,003.80x = 834,470,208,005.70 × 556,313,472,003.80
  4. Step 4: Simplify right side
    556,313,472,003.80x = 464,227,018,699,384,192,761,856
  5. Step 5: Solve for x
    x = 464,227,018,699,384,192,761,856/556,313,472,003.80
  6. Step 6: Final answer
    x = 834,470,208,005.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.