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Finding the Fourth Proportional to 30,260,871,365.60, 45,309,677,710.80 and 30,260,871,365.60

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Solution

The fourth proportional to 30,260,871,365.60, 45,309,677,710.80 and 30,260,871,365.60 is: 45,309,677,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,260,871,365.60 : 45,309,677,710.80 = 30,260,871,365.60 : x
  2. Step 2: Convert to fraction form
    30,260,871,365.60/45,309,677,710.80 = 30,260,871,365.60/x
  3. Step 3: Cross multiply
    30,260,871,365.60x = 45,309,677,710.80 × 30,260,871,365.60
  4. Step 4: Simplify right side
    30,260,871,365.60x = 1,371,110,328,823,312,285,696
  5. Step 5: Solve for x
    x = 1,371,110,328,823,312,285,696/30,260,871,365.60
  6. Step 6: Final answer
    x = 45,309,677,710.80

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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.