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Finding the Fourth Proportional to 245,584,818,497.80, 368,377,227,746.70 and 245,584,818,497.80

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Solution

The fourth proportional to 245,584,818,497.80, 368,377,227,746.70 and 245,584,818,497.80 is: 368,377,227,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,584,818,497.80 : 368,377,227,746.70 = 245,584,818,497.80 : x
  2. Step 2: Convert to fraction form
    245,584,818,497.80/368,377,227,746.70 = 245,584,818,497.80/x
  3. Step 3: Cross multiply
    245,584,818,497.80x = 368,377,227,746.70 × 245,584,818,497.80
  4. Step 4: Simplify right side
    245,584,818,497.80x = 90,467,854,614,896,058,564,608
  5. Step 5: Solve for x
    x = 90,467,854,614,896,058,564,608/245,584,818,497.80
  6. Step 6: Final answer
    x = 368,377,227,746.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.