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Finding the Fourth Proportional to 245,673,398,412.80, 368,510,097,619.20 and 245,673,398,412.80

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Solution

The fourth proportional to 245,673,398,412.80, 368,510,097,619.20 and 245,673,398,412.80 is: 368,510,097,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,673,398,412.80 : 368,510,097,619.20 = 245,673,398,412.80 : x
  2. Step 2: Convert to fraction form
    245,673,398,412.80/368,510,097,619.20 = 245,673,398,412.80/x
  3. Step 3: Cross multiply
    245,673,398,412.80x = 368,510,097,619.20 × 245,673,398,412.80
  4. Step 4: Simplify right side
    245,673,398,412.80x = 90,533,128,031,541,540,159,488
  5. Step 5: Solve for x
    x = 90,533,128,031,541,540,159,488/245,673,398,412.80
  6. Step 6: Final answer
    x = 368,510,097,619.20

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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.