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Finding the Fourth Proportional to 605,720,725.80, 908,581,088.70 and 433,728,047.40

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Solution

The fourth proportional to 605,720,725.80, 908,581,088.70 and 433,728,047.40 is: 650,592,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,720,725.80 : 908,581,088.70 = 433,728,047.40 : x
  2. Step 2: Convert to fraction form
    605,720,725.80/908,581,088.70 = 433,728,047.40/x
  3. Step 3: Cross multiply
    605,720,725.80x = 908,581,088.70 × 433,728,047.40
  4. Step 4: Simplify right side
    605,720,725.80x = 394,077,101,506,417,216
  5. Step 5: Solve for x
    x = 394,077,101,506,417,216/605,720,725.80
  6. Step 6: Final answer
    x = 650,592,071.10

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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.