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Finding the Fourth Proportional to 46,063,762,403.90, 69,095,643,605.85 and 46,063,762,403.90

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Solution

The fourth proportional to 46,063,762,403.90, 69,095,643,605.85 and 46,063,762,403.90 is: 69,095,643,605.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,063,762,403.90 : 69,095,643,605.85 = 46,063,762,403.90 : x
  2. Step 2: Convert to fraction form
    46,063,762,403.90/69,095,643,605.85 = 46,063,762,403.90/x
  3. Step 3: Cross multiply
    46,063,762,403.90x = 69,095,643,605.85 × 46,063,762,403.90
  4. Step 4: Simplify right side
    46,063,762,403.90x = 3,182,805,310,204,427,108,352
  5. Step 5: Solve for x
    x = 3,182,805,310,204,427,108,352/46,063,762,403.90
  6. Step 6: Final answer
    x = 69,095,643,605.85

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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.