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Finding the Fourth Proportional to 30,267,095,999.55, 45,400,643,999.33 and 30,267,095,999.55

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Solution

The fourth proportional to 30,267,095,999.55, 45,400,643,999.33 and 30,267,095,999.55 is: 45,400,643,999.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,267,095,999.55 : 45,400,643,999.33 = 30,267,095,999.55 : x
  2. Step 2: Convert to fraction form
    30,267,095,999.55/45,400,643,999.33 = 30,267,095,999.55/x
  3. Step 3: Cross multiply
    30,267,095,999.55x = 45,400,643,999.33 × 30,267,095,999.55
  4. Step 4: Simplify right side
    30,267,095,999.55x = 1,374,145,650,368,963,411,968
  5. Step 5: Solve for x
    x = 1,374,145,650,368,963,411,968/30,267,095,999.55
  6. Step 6: Final answer
    x = 45,400,643,999.33

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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.