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Finding the Fourth Proportional to 453,650,497.60, 680,475,746.40 and 453,650,497.60

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Solution

The fourth proportional to 453,650,497.60, 680,475,746.40 and 453,650,497.60 is: 680,475,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,650,497.60 : 680,475,746.40 = 453,650,497.60 : x
  2. Step 2: Convert to fraction form
    453,650,497.60/680,475,746.40 = 453,650,497.60/x
  3. Step 3: Cross multiply
    453,650,497.60x = 680,475,746.40 × 453,650,497.60
  4. Step 4: Simplify right side
    453,650,497.60x = 308,698,160,959,091,392
  5. Step 5: Solve for x
    x = 308,698,160,959,091,392/453,650,497.60
  6. Step 6: Final answer
    x = 680,475,746.40

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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.