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Finding the Fourth Proportional to 46,359,979,477.40, 69,539,969,216.10 and 46,359,979,477.40

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Solution

The fourth proportional to 46,359,979,477.40, 69,539,969,216.10 and 46,359,979,477.40 is: 69,539,969,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,359,979,477.40 : 69,539,969,216.10 = 46,359,979,477.40 : x
  2. Step 2: Convert to fraction form
    46,359,979,477.40/69,539,969,216.10 = 46,359,979,477.40/x
  3. Step 3: Cross multiply
    46,359,979,477.40x = 69,539,969,216.10 × 46,359,979,477.40
  4. Step 4: Simplify right side
    46,359,979,477.40x = 3,223,871,545,717,424,128,000
  5. Step 5: Solve for x
    x = 3,223,871,545,717,424,128,000/46,359,979,477.40
  6. Step 6: Final answer
    x = 69,539,969,216.10

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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.