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Finding the Fourth Proportional to 334,409,686,543.80, 501,614,529,815.70 and 334,409,686,543.80

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Solution

The fourth proportional to 334,409,686,543.80, 501,614,529,815.70 and 334,409,686,543.80 is: 501,614,529,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,409,686,543.80 : 501,614,529,815.70 = 334,409,686,543.80 : x
  2. Step 2: Convert to fraction form
    334,409,686,543.80/501,614,529,815.70 = 334,409,686,543.80/x
  3. Step 3: Cross multiply
    334,409,686,543.80x = 501,614,529,815.70 × 334,409,686,543.80
  4. Step 4: Simplify right side
    334,409,686,543.80x = 167,744,757,681,483,870,633,984
  5. Step 5: Solve for x
    x = 167,744,757,681,483,870,633,984/334,409,686,543.80
  6. Step 6: Final answer
    x = 501,614,529,815.70

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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.