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Finding the Fourth Proportional to 817,183,575,832.30, 1,225,775,363,748.50 and 817,183,575,832.30

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Solution

The fourth proportional to 817,183,575,832.30, 1,225,775,363,748.50 and 817,183,575,832.30 is: 1,225,775,363,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,183,575,832.30 : 1,225,775,363,748.50 = 817,183,575,832.30 : x
  2. Step 2: Convert to fraction form
    817,183,575,832.30/1,225,775,363,748.50 = 817,183,575,832.30/x
  3. Step 3: Cross multiply
    817,183,575,832.30x = 1,225,775,363,748.50 × 817,183,575,832.30
  4. Step 4: Simplify right side
    817,183,575,832.30x = 1,001,683,494,915,137,565,884,416
  5. Step 5: Solve for x
    x = 1,001,683,494,915,137,565,884,416/817,183,575,832.30
  6. Step 6: Final answer
    x = 1,225,775,363,748.50

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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.