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Finding the Fourth Proportional to 560,080,700.40, 772,923,739.16 and 309,184,497.96

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Solution

The fourth proportional to 560,080,700.40, 772,923,739.16 and 309,184,497.96 is: 426,681,437.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,080,700.40 : 772,923,739.16 = 309,184,497.96 : x
  2. Step 2: Convert to fraction form
    560,080,700.40/772,923,739.16 = 309,184,497.96/x
  3. Step 3: Cross multiply
    560,080,700.40x = 772,923,739.16 × 309,184,497.96
  4. Step 4: Simplify right side
    560,080,700.40x = 238,976,038,252,004,640
  5. Step 5: Solve for x
    x = 238,976,038,252,004,640/560,080,700.40
  6. Step 6: Final answer
    x = 426,681,437.30

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