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Finding the Fourth Proportional to 453,640,703.10, 680,461,054.65 and 453,640,703.10

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Solution

The fourth proportional to 453,640,703.10, 680,461,054.65 and 453,640,703.10 is: 680,461,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,640,703.10 : 680,461,054.65 = 453,640,703.10 : x
  2. Step 2: Convert to fraction form
    453,640,703.10/680,461,054.65 = 453,640,703.10/x
  3. Step 3: Cross multiply
    453,640,703.10x = 680,461,054.65 × 453,640,703.10
  4. Step 4: Simplify right side
    453,640,703.10x = 308,684,831,263,593,536
  5. Step 5: Solve for x
    x = 308,684,831,263,593,536/453,640,703.10
  6. Step 6: Final answer
    x = 680,461,054.65

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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.