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Finding the Fourth Proportional to 310,043,370,005.30, 465,065,055,007.95 and 310,043,370,005.30

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Solution

The fourth proportional to 310,043,370,005.30, 465,065,055,007.95 and 310,043,370,005.30 is: 465,065,055,007.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,043,370,005.30 : 465,065,055,007.95 = 310,043,370,005.30 : x
  2. Step 2: Convert to fraction form
    310,043,370,005.30/465,065,055,007.95 = 310,043,370,005.30/x
  3. Step 3: Cross multiply
    310,043,370,005.30x = 465,065,055,007.95 × 310,043,370,005.30
  4. Step 4: Simplify right side
    310,043,370,005.30x = 144,190,336,926,365,041,819,648
  5. Step 5: Solve for x
    x = 144,190,336,926,365,041,819,648/310,043,370,005.30
  6. Step 6: Final answer
    x = 465,065,055,007.95

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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.