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Finding the Fourth Proportional to 227,044,012,802.60, 340,566,019,203.90 and 227,044,012,802.60

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Solution

The fourth proportional to 227,044,012,802.60, 340,566,019,203.90 and 227,044,012,802.60 is: 340,566,019,203.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,044,012,802.60 : 340,566,019,203.90 = 227,044,012,802.60 : x
  2. Step 2: Convert to fraction form
    227,044,012,802.60/340,566,019,203.90 = 227,044,012,802.60/x
  3. Step 3: Cross multiply
    227,044,012,802.60x = 340,566,019,203.90 × 227,044,012,802.60
  4. Step 4: Simplify right side
    227,044,012,802.60x = 77,323,475,624,260,802,707,456
  5. Step 5: Solve for x
    x = 77,323,475,624,260,802,707,456/227,044,012,802.60
  6. Step 6: Final answer
    x = 340,566,019,203.90

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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.