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Finding the Fourth Proportional to 564,116,890.80, 844,582,811.40 and 564,116,890.80

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Solution

The fourth proportional to 564,116,890.80, 844,582,811.40 and 564,116,890.80 is: 844,582,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,116,890.80 : 844,582,811.40 = 564,116,890.80 : x
  2. Step 2: Convert to fraction form
    564,116,890.80/844,582,811.40 = 564,116,890.80/x
  3. Step 3: Cross multiply
    564,116,890.80x = 844,582,811.40 × 564,116,890.80
  4. Step 4: Simplify right side
    564,116,890.80x = 476,443,429,590,090,752
  5. Step 5: Solve for x
    x = 476,443,429,590,090,752/564,116,890.80
  6. Step 6: Final answer
    x = 844,582,811.40

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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.