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Finding the Fourth Proportional to 772,314,378.30, 1,158,471,567.45 and 772,314,378.30

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Solution

The fourth proportional to 772,314,378.30, 1,158,471,567.45 and 772,314,378.30 is: 1,158,471,567.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,314,378.30 : 1,158,471,567.45 = 772,314,378.30 : x
  2. Step 2: Convert to fraction form
    772,314,378.30/1,158,471,567.45 = 772,314,378.30/x
  3. Step 3: Cross multiply
    772,314,378.30x = 1,158,471,567.45 × 772,314,378.30
  4. Step 4: Simplify right side
    772,314,378.30x = 894,704,248,393,373,184
  5. Step 5: Solve for x
    x = 894,704,248,393,373,184/772,314,378.30
  6. Step 6: Final answer
    x = 1,158,471,567.45

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Double scale
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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.