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Finding the Fourth Proportional to 465,472,585,019.70, 698,208,877,529.50 and 465,472,585,019.70

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Solution

The fourth proportional to 465,472,585,019.70, 698,208,877,529.50 and 465,472,585,019.70 is: 698,208,877,529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,472,585,019.70 : 698,208,877,529.50 = 465,472,585,019.70 : x
  2. Step 2: Convert to fraction form
    465,472,585,019.70/698,208,877,529.50 = 465,472,585,019.70/x
  3. Step 3: Cross multiply
    465,472,585,019.70x = 698,208,877,529.50 × 465,472,585,019.70
  4. Step 4: Simplify right side
    465,472,585,019.70x = 324,997,091,107,359,527,272,448
  5. Step 5: Solve for x
    x = 324,997,091,107,359,527,272,448/465,472,585,019.70
  6. Step 6: Final answer
    x = 698,208,877,529.50

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1.5x scale

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.