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Finding the Fourth Proportional to 926,880,923.10, 1,301,261,262.90 and 926,880,923.10

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Solution

The fourth proportional to 926,880,923.10, 1,301,261,262.90 and 926,880,923.10 is: 1,301,261,262.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    926,880,923.10 : 1,301,261,262.90 = 926,880,923.10 : x
  2. Step 2: Convert to fraction form
    926,880,923.10/1,301,261,262.90 = 926,880,923.10/x
  3. Step 3: Cross multiply
    926,880,923.10x = 1,301,261,262.90 × 926,880,923.10
  4. Step 4: Simplify right side
    926,880,923.10x = 1,206,114,240,551,023,872
  5. Step 5: Solve for x
    x = 1,206,114,240,551,023,872/926,880,923.10
  6. Step 6: Final answer
    x = 1,301,261,262.90

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1.5x scale

Why These Related Problems?

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