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Finding the Fourth Proportional to 34,775,934,043.60, 52,163,901,065.40 and 34,775,934,043.60

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Solution

The fourth proportional to 34,775,934,043.60, 52,163,901,065.40 and 34,775,934,043.60 is: 52,163,901,065.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,775,934,043.60 : 52,163,901,065.40 = 34,775,934,043.60 : x
  2. Step 2: Convert to fraction form
    34,775,934,043.60/52,163,901,065.40 = 34,775,934,043.60/x
  3. Step 3: Cross multiply
    34,775,934,043.60x = 52,163,901,065.40 × 34,775,934,043.60
  4. Step 4: Simplify right side
    34,775,934,043.60x = 1,814,048,382,907,226,259,456
  5. Step 5: Solve for x
    x = 1,814,048,382,907,226,259,456/34,775,934,043.60
  6. Step 6: Final answer
    x = 52,163,901,065.40

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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.