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Finding the Fourth Proportional to 5,240,964,006,522.40, 7,861,446,009,783.80 and 5,240,964,006,522.40

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Solution

The fourth proportional to 5,240,964,006,522.40, 7,861,446,009,783.80 and 5,240,964,006,522.40 is: 7,861,446,009,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240,964,006,522.40 : 7,861,446,009,783.80 = 5,240,964,006,522.40 : x
  2. Step 2: Convert to fraction form
    5,240,964,006,522.40/7,861,446,009,783.80 = 5,240,964,006,522.40/x
  3. Step 3: Cross multiply
    5,240,964,006,522.40x = 7,861,446,009,783.80 × 5,240,964,006,522.40
  4. Step 4: Simplify right side
    5,240,964,006,522.40x = 41,201,555,576,496,037,700,829,184
  5. Step 5: Solve for x
    x = 41,201,555,576,496,037,700,829,184/5,240,964,006,522.40
  6. Step 6: Final answer
    x = 7,861,446,009,783.80

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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.