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Finding the Fourth Proportional to 368,377,242,718.40, 552,565,864,077.60 and 368,377,242,718.40

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Solution

The fourth proportional to 368,377,242,718.40, 552,565,864,077.60 and 368,377,242,718.40 is: 552,565,864,077.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,377,242,718.40 : 552,565,864,077.60 = 368,377,242,718.40 : x
  2. Step 2: Convert to fraction form
    368,377,242,718.40/552,565,864,077.60 = 368,377,242,718.40/x
  3. Step 3: Cross multiply
    368,377,242,718.40x = 552,565,864,077.60 × 368,377,242,718.40
  4. Step 4: Simplify right side
    368,377,242,718.40x = 203,552,689,429,216,470,499,328
  5. Step 5: Solve for x
    x = 203,552,689,429,216,470,499,328/368,377,242,718.40
  6. Step 6: Final answer
    x = 552,565,864,077.60

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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.