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Finding the Fourth Proportional to 663,830,291.10, 930,722,896.50 and 663,830,291.10

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Solution

The fourth proportional to 663,830,291.10, 930,722,896.50 and 663,830,291.10 is: 930,722,896.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,830,291.10 : 930,722,896.50 = 663,830,291.10 : x
  2. Step 2: Convert to fraction form
    663,830,291.10/930,722,896.50 = 663,830,291.10/x
  3. Step 3: Cross multiply
    663,830,291.10x = 930,722,896.50 × 663,830,291.10
  4. Step 4: Simplify right side
    663,830,291.10x = 617,842,051,317,030,144
  5. Step 5: Solve for x
    x = 617,842,051,317,030,144/663,830,291.10
  6. Step 6: Final answer
    x = 930,722,896.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.