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Finding the Fourth Proportional to 471,672,583,404.60, 707,508,875,106.90 and 471,672,583,404.60

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Solution

The fourth proportional to 471,672,583,404.60, 707,508,875,106.90 and 471,672,583,404.60 is: 707,508,875,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,672,583,404.60 : 707,508,875,106.90 = 471,672,583,404.60 : x
  2. Step 2: Convert to fraction form
    471,672,583,404.60/707,508,875,106.90 = 471,672,583,404.60/x
  3. Step 3: Cross multiply
    471,672,583,404.60x = 707,508,875,106.90 × 471,672,583,404.60
  4. Step 4: Simplify right side
    471,672,583,404.60x = 333,712,538,903,354,005,258,240
  5. Step 5: Solve for x
    x = 333,712,538,903,354,005,258,240/471,672,583,404.60
  6. Step 6: Final answer
    x = 707,508,875,106.90

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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.