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Finding the Fourth Proportional to 5,252,019,950.90, 7,878,029,926.35 and 5,252,019,950.90

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Solution

The fourth proportional to 5,252,019,950.90, 7,878,029,926.35 and 5,252,019,950.90 is: 7,878,029,926.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252,019,950.90 : 7,878,029,926.35 = 5,252,019,950.90 : x
  2. Step 2: Convert to fraction form
    5,252,019,950.90/7,878,029,926.35 = 5,252,019,950.90/x
  3. Step 3: Cross multiply
    5,252,019,950.90x = 7,878,029,926.35 × 5,252,019,950.90
  4. Step 4: Simplify right side
    5,252,019,950.90x = 41,375,570,346,977,460,224
  5. Step 5: Solve for x
    x = 41,375,570,346,977,460,224/5,252,019,950.90
  6. Step 6: Final answer
    x = 7,878,029,926.35

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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.