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Finding the Fourth Proportional to 245,584,828,497.93, 368,377,242,746.90 and 245,584,828,497.93

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Solution

The fourth proportional to 245,584,828,497.93, 368,377,242,746.90 and 245,584,828,497.93 is: 368,377,242,746.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,584,828,497.93 : 368,377,242,746.90 = 245,584,828,497.93 : x
  2. Step 2: Convert to fraction form
    245,584,828,497.93/368,377,242,746.90 = 245,584,828,497.93/x
  3. Step 3: Cross multiply
    245,584,828,497.93x = 368,377,242,746.90 × 245,584,828,497.93
  4. Step 4: Simplify right side
    245,584,828,497.93x = 90,467,861,982,537,769,287,680
  5. Step 5: Solve for x
    x = 90,467,861,982,537,769,287,680/245,584,828,497.93
  6. Step 6: Final answer
    x = 368,377,242,746.90

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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.