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Finding the Fourth Proportional to 977,201,542.70, 1,465,802,314.05 and 977,201,542.70

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Solution

The fourth proportional to 977,201,542.70, 1,465,802,314.05 and 977,201,542.70 is: 1,465,802,314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,201,542.70 : 1,465,802,314.05 = 977,201,542.70 : x
  2. Step 2: Convert to fraction form
    977,201,542.70/1,465,802,314.05 = 977,201,542.70/x
  3. Step 3: Cross multiply
    977,201,542.70x = 1,465,802,314.05 × 977,201,542.70
  4. Step 4: Simplify right side
    977,201,542.70x = 1,432,384,282,582,889,984
  5. Step 5: Solve for x
    x = 1,432,384,282,582,889,984/977,201,542.70
  6. Step 6: Final answer
    x = 1,465,802,314.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.