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Finding the Fourth Proportional to 144,470,952,006.30, 216,706,428,009.45 and 144,470,952,006.30

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Solution

The fourth proportional to 144,470,952,006.30, 216,706,428,009.45 and 144,470,952,006.30 is: 216,706,428,009.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,470,952,006.30 : 216,706,428,009.45 = 144,470,952,006.30 : x
  2. Step 2: Convert to fraction form
    144,470,952,006.30/216,706,428,009.45 = 144,470,952,006.30/x
  3. Step 3: Cross multiply
    144,470,952,006.30x = 216,706,428,009.45 × 144,470,952,006.30
  4. Step 4: Simplify right side
    144,470,952,006.30x = 31,307,783,960,409,956,941,824
  5. Step 5: Solve for x
    x = 31,307,783,960,409,956,941,824/144,470,952,006.30
  6. Step 6: Final answer
    x = 216,706,428,009.45

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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.