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Finding the Fourth Proportional to 453,643,670.35, 680,465,505.53 and 453,643,670.35

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Solution

The fourth proportional to 453,643,670.35, 680,465,505.53 and 453,643,670.35 is: 680,465,505.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,643,670.35 : 680,465,505.53 = 453,643,670.35 : x
  2. Step 2: Convert to fraction form
    453,643,670.35/680,465,505.53 = 453,643,670.35/x
  3. Step 3: Cross multiply
    453,643,670.35x = 680,465,505.53 × 453,643,670.35
  4. Step 4: Simplify right side
    453,643,670.35x = 308,688,869,475,197,440
  5. Step 5: Solve for x
    x = 308,688,869,475,197,440/453,643,670.35
  6. Step 6: Final answer
    x = 680,465,505.53

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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.