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Finding the Fourth Proportional to 1,300,701,968.81, 1,794,920,652.66 and 705,973,684.17

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Solution

The fourth proportional to 1,300,701,968.81, 1,794,920,652.66 and 705,973,684.17 is: 974,217,596.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300,701,968.81 : 1,794,920,652.66 = 705,973,684.17 : x
  2. Step 2: Convert to fraction form
    1,300,701,968.81/1,794,920,652.66 = 705,973,684.17/x
  3. Step 3: Cross multiply
    1,300,701,968.81x = 1,794,920,652.66 × 705,973,684.17
  4. Step 4: Simplify right side
    1,300,701,968.81x = 1,267,166,745,951,201,024
  5. Step 5: Solve for x
    x = 1,267,166,745,951,201,024/1,300,701,968.81
  6. Step 6: Final answer
    x = 974,217,596.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.