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Finding the Fourth Proportional to 24,886,465,386.30, 37,329,698,079.45 and 24,886,465,386.30

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Solution

The fourth proportional to 24,886,465,386.30, 37,329,698,079.45 and 24,886,465,386.30 is: 37,329,698,079.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,886,465,386.30 : 37,329,698,079.45 = 24,886,465,386.30 : x
  2. Step 2: Convert to fraction form
    24,886,465,386.30/37,329,698,079.45 = 24,886,465,386.30/x
  3. Step 3: Cross multiply
    24,886,465,386.30x = 37,329,698,079.45 × 24,886,465,386.30
  4. Step 4: Simplify right side
    24,886,465,386.30x = 929,004,239,135,261,851,648
  5. Step 5: Solve for x
    x = 929,004,239,135,261,851,648/24,886,465,386.30
  6. Step 6: Final answer
    x = 37,329,698,079.45

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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.