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Finding the Fourth Proportional to 646,706,809.60, 970,060,214.40 and 186,659,987.20

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Solution

The fourth proportional to 646,706,809.60, 970,060,214.40 and 186,659,987.20 is: 279,989,980.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,706,809.60 : 970,060,214.40 = 186,659,987.20 : x
  2. Step 2: Convert to fraction form
    646,706,809.60/970,060,214.40 = 186,659,987.20/x
  3. Step 3: Cross multiply
    646,706,809.60x = 970,060,214.40 × 186,659,987.20
  4. Step 4: Simplify right side
    646,706,809.60x = 181,071,427,203,133,248
  5. Step 5: Solve for x
    x = 181,071,427,203,133,248/646,706,809.60
  6. Step 6: Final answer
    x = 279,989,980.80

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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.