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Finding the Fourth Proportional to 54,097,645,986.90, 75,581,910,971.10 and 54,097,645,986.90

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Solution

The fourth proportional to 54,097,645,986.90, 75,581,910,971.10 and 54,097,645,986.90 is: 75,581,910,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,097,645,986.90 : 75,581,910,971.10 = 54,097,645,986.90 : x
  2. Step 2: Convert to fraction form
    54,097,645,986.90/75,581,910,971.10 = 54,097,645,986.90/x
  3. Step 3: Cross multiply
    54,097,645,986.90x = 75,581,910,971.10 × 54,097,645,986.90
  4. Step 4: Simplify right side
    54,097,645,986.90x = 4,088,803,462,727,961,411,584
  5. Step 5: Solve for x
    x = 4,088,803,462,727,961,411,584/54,097,645,986.90
  6. Step 6: Final answer
    x = 75,581,910,971.10

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.