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Finding the Fourth Proportional to 245,584,828,884.30, 368,377,243,326.45 and 245,584,828,884.30

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Solution

The fourth proportional to 245,584,828,884.30, 368,377,243,326.45 and 245,584,828,884.30 is: 368,377,243,326.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,584,828,884.30 : 368,377,243,326.45 = 245,584,828,884.30 : x
  2. Step 2: Convert to fraction form
    245,584,828,884.30/368,377,243,326.45 = 245,584,828,884.30/x
  3. Step 3: Cross multiply
    245,584,828,884.30x = 368,377,243,326.45 × 245,584,828,884.30
  4. Step 4: Simplify right side
    245,584,828,884.30x = 90,467,862,267,196,373,729,280
  5. Step 5: Solve for x
    x = 90,467,862,267,196,373,729,280/245,584,828,884.30
  6. Step 6: Final answer
    x = 368,377,243,326.45

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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.