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Finding the Fourth Proportional to 301,223,712,912.30, 451,835,569,368.45 and 301,223,712,912.30

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Solution

The fourth proportional to 301,223,712,912.30, 451,835,569,368.45 and 301,223,712,912.30 is: 451,835,569,368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,223,712,912.30 : 451,835,569,368.45 = 301,223,712,912.30 : x
  2. Step 2: Convert to fraction form
    301,223,712,912.30/451,835,569,368.45 = 301,223,712,912.30/x
  3. Step 3: Cross multiply
    301,223,712,912.30x = 451,835,569,368.45 × 301,223,712,912.30
  4. Step 4: Simplify right side
    301,223,712,912.30x = 136,103,587,831,007,596,773,376
  5. Step 5: Solve for x
    x = 136,103,587,831,007,596,773,376/301,223,712,912.30
  6. Step 6: Final answer
    x = 451,835,569,368.45

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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.