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Finding the Fourth Proportional to 453,653,643.60, 680,480,465.40 and 453,653,643.60

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Solution

The fourth proportional to 453,653,643.60, 680,480,465.40 and 453,653,643.60 is: 680,480,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,653,643.60 : 680,480,465.40 = 453,653,643.60 : x
  2. Step 2: Convert to fraction form
    453,653,643.60/680,480,465.40 = 453,653,643.60/x
  3. Step 3: Cross multiply
    453,653,643.60x = 680,480,465.40 × 453,653,643.60
  4. Step 4: Simplify right side
    453,653,643.60x = 308,702,442,527,333,760
  5. Step 5: Solve for x
    x = 308,702,442,527,333,760/453,653,643.60
  6. Step 6: Final answer
    x = 680,480,465.40

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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.