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Finding the Fourth Proportional to 434,413,336,505.60, 651,620,004,758.40 and 434,413,336,505.60

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Solution

The fourth proportional to 434,413,336,505.60, 651,620,004,758.40 and 434,413,336,505.60 is: 651,620,004,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,413,336,505.60 : 651,620,004,758.40 = 434,413,336,505.60 : x
  2. Step 2: Convert to fraction form
    434,413,336,505.60/651,620,004,758.40 = 434,413,336,505.60/x
  3. Step 3: Cross multiply
    434,413,336,505.60x = 651,620,004,758.40 × 434,413,336,505.60
  4. Step 4: Simplify right side
    434,413,336,505.60x = 283,072,420,400,891,498,070,016
  5. Step 5: Solve for x
    x = 283,072,420,400,891,498,070,016/434,413,336,505.60
  6. Step 6: Final answer
    x = 651,620,004,758.40

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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.