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Finding the Fourth Proportional to 139,104,865,207.40, 208,657,297,811.10 and 139,104,865,207.40

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Solution

The fourth proportional to 139,104,865,207.40, 208,657,297,811.10 and 139,104,865,207.40 is: 208,657,297,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,104,865,207.40 : 208,657,297,811.10 = 139,104,865,207.40 : x
  2. Step 2: Convert to fraction form
    139,104,865,207.40/208,657,297,811.10 = 139,104,865,207.40/x
  3. Step 3: Cross multiply
    139,104,865,207.40x = 208,657,297,811.10 × 139,104,865,207.40
  4. Step 4: Simplify right side
    139,104,865,207.40x = 29,025,245,286,553,383,600,128
  5. Step 5: Solve for x
    x = 29,025,245,286,553,383,600,128/139,104,865,207.40
  6. Step 6: Final answer
    x = 208,657,297,811.10

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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.