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Finding the Fourth Proportional to 689,943,283,069.90, 1,034,914,924,604.80 and 689,943,283,069.90

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Solution

The fourth proportional to 689,943,283,069.90, 1,034,914,924,604.80 and 689,943,283,069.90 is: 1,034,914,924,604.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,943,283,069.90 : 1,034,914,924,604.80 = 689,943,283,069.90 : x
  2. Step 2: Convert to fraction form
    689,943,283,069.90/1,034,914,924,604.80 = 689,943,283,069.90/x
  3. Step 3: Cross multiply
    689,943,283,069.90x = 1,034,914,924,604.80 × 689,943,283,069.90
  4. Step 4: Simplify right side
    689,943,283,069.90x = 714,032,600,779,873,853,636,608
  5. Step 5: Solve for x
    x = 714,032,600,779,873,853,636,608/689,943,283,069.90
  6. Step 6: Final answer
    x = 1,034,914,924,604.80

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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.