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Finding the Fourth Proportional to 435,372,347.15, 611,243,154.85 and 435,372,347.15

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Solution

The fourth proportional to 435,372,347.15, 611,243,154.85 and 435,372,347.15 is: 611,243,154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,372,347.15 : 611,243,154.85 = 435,372,347.15 : x
  2. Step 2: Convert to fraction form
    435,372,347.15/611,243,154.85 = 435,372,347.15/x
  3. Step 3: Cross multiply
    435,372,347.15x = 611,243,154.85 × 435,372,347.15
  4. Step 4: Simplify right side
    435,372,347.15x = 266,118,367,006,415,392
  5. Step 5: Solve for x
    x = 266,118,367,006,415,392/435,372,347.15
  6. Step 6: Final answer
    x = 611,243,154.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.