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Finding the Fourth Proportional to 140,300,424,000.17, 210,450,636,000.24 and 140,300,424,000.17

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Solution

The fourth proportional to 140,300,424,000.17, 210,450,636,000.24 and 140,300,424,000.17 is: 210,450,636,000.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,300,424,000.17 : 210,450,636,000.24 = 140,300,424,000.17 : x
  2. Step 2: Convert to fraction form
    140,300,424,000.17/210,450,636,000.24 = 140,300,424,000.17/x
  3. Step 3: Cross multiply
    140,300,424,000.17x = 210,450,636,000.24 × 140,300,424,000.17
  4. Step 4: Simplify right side
    140,300,424,000.17x = 29,526,313,461,939,112,509,440
  5. Step 5: Solve for x
    x = 29,526,313,461,939,112,509,440/140,300,424,000.17
  6. Step 6: Final answer
    x = 210,450,636,000.24

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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.