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Finding the Fourth Proportional to 34,066,290,435.40, 51,099,435,653.10 and 34,066,290,435.40

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Solution

The fourth proportional to 34,066,290,435.40, 51,099,435,653.10 and 34,066,290,435.40 is: 51,099,435,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,066,290,435.40 : 51,099,435,653.10 = 34,066,290,435.40 : x
  2. Step 2: Convert to fraction form
    34,066,290,435.40/51,099,435,653.10 = 34,066,290,435.40/x
  3. Step 3: Cross multiply
    34,066,290,435.40x = 51,099,435,653.10 × 34,066,290,435.40
  4. Step 4: Simplify right side
    34,066,290,435.40x = 1,740,768,216,043,538,350,080
  5. Step 5: Solve for x
    x = 1,740,768,216,043,538,350,080/34,066,290,435.40
  6. Step 6: Final answer
    x = 51,099,435,653.10

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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.