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Finding the Fourth Proportional to 584,939,393,999.70, 877,409,090,999.55 and 584,939,393,999.70

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Solution

The fourth proportional to 584,939,393,999.70, 877,409,090,999.55 and 584,939,393,999.70 is: 877,409,090,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,939,393,999.70 : 877,409,090,999.55 = 584,939,393,999.70 : x
  2. Step 2: Convert to fraction form
    584,939,393,999.70/877,409,090,999.55 = 584,939,393,999.70/x
  3. Step 3: Cross multiply
    584,939,393,999.70x = 877,409,090,999.55 × 584,939,393,999.70
  4. Step 4: Simplify right side
    584,939,393,999.70x = 513,231,141,979,104,380,715,008
  5. Step 5: Solve for x
    x = 513,231,141,979,104,380,715,008/584,939,393,999.70
  6. Step 6: Final answer
    x = 877,409,090,999.55

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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.