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Finding the Fourth Proportional to 456,365,538.20, 684,548,307.30 and 456,365,538.20

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Solution

The fourth proportional to 456,365,538.20, 684,548,307.30 and 456,365,538.20 is: 684,548,307.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,365,538.20 : 684,548,307.30 = 456,365,538.20 : x
  2. Step 2: Convert to fraction form
    456,365,538.20/684,548,307.30 = 456,365,538.20/x
  3. Step 3: Cross multiply
    456,365,538.20x = 684,548,307.30 × 456,365,538.20
  4. Step 4: Simplify right side
    456,365,538.20x = 312,404,256,684,863,488
  5. Step 5: Solve for x
    x = 312,404,256,684,863,488/456,365,538.20
  6. Step 6: Final answer
    x = 684,548,307.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.