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Finding the Fourth Proportional to 696,181,200.60, 960,979,955.01 and 413,922,968.05

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Solution

The fourth proportional to 696,181,200.60, 960,979,955.01 and 413,922,968.05 is: 571,362,275.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,181,200.60 : 960,979,955.01 = 413,922,968.05 : x
  2. Step 2: Convert to fraction form
    696,181,200.60/960,979,955.01 = 413,922,968.05/x
  3. Step 3: Cross multiply
    696,181,200.60x = 960,979,955.01 × 413,922,968.05
  4. Step 4: Simplify right side
    696,181,200.60x = 397,771,675,214,294,656
  5. Step 5: Solve for x
    x = 397,771,675,214,294,656/696,181,200.60
  6. Step 6: Final answer
    x = 571,362,275.90

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1.5x scale

Why These Related Problems?

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