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Finding the Fourth Proportional to 919,363,042,005.80, 1,379,044,563,008.60 and 919,363,042,005.80

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Solution

The fourth proportional to 919,363,042,005.80, 1,379,044,563,008.60 and 919,363,042,005.80 is: 1,379,044,563,008.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,363,042,005.80 : 1,379,044,563,008.60 = 919,363,042,005.80 : x
  2. Step 2: Convert to fraction form
    919,363,042,005.80/1,379,044,563,008.60 = 919,363,042,005.80/x
  3. Step 3: Cross multiply
    919,363,042,005.80x = 1,379,044,563,008.60 × 919,363,042,005.80
  4. Step 4: Simplify right side
    919,363,042,005.80x = 1,267,842,604,509,145,738,510,336
  5. Step 5: Solve for x
    x = 1,267,842,604,509,145,738,510,336/919,363,042,005.80
  6. Step 6: Final answer
    x = 1,379,044,563,008.60

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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.