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Finding the Fourth Proportional to 208,288,595.40, 312,432,893.10 and 208,288,595.40

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Solution

The fourth proportional to 208,288,595.40, 312,432,893.10 and 208,288,595.40 is: 312,432,893.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,288,595.40 : 312,432,893.10 = 208,288,595.40 : x
  2. Step 2: Convert to fraction form
    208,288,595.40/312,432,893.10 = 208,288,595.40/x
  3. Step 3: Cross multiply
    208,288,595.40x = 312,432,893.10 × 208,288,595.40
  4. Step 4: Simplify right side
    208,288,595.40x = 65,076,208,460,557,360
  5. Step 5: Solve for x
    x = 65,076,208,460,557,360/208,288,595.40
  6. Step 6: Final answer
    x = 312,432,893.10

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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.