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Finding the Fourth Proportional to 78,656,636,896.80, 117,984,955,345.20 and 78,656,636,896.80

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Solution

The fourth proportional to 78,656,636,896.80, 117,984,955,345.20 and 78,656,636,896.80 is: 117,984,955,345.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,656,636,896.80 : 117,984,955,345.20 = 78,656,636,896.80 : x
  2. Step 2: Convert to fraction form
    78,656,636,896.80/117,984,955,345.20 = 78,656,636,896.80/x
  3. Step 3: Cross multiply
    78,656,636,896.80x = 117,984,955,345.20 × 78,656,636,896.80
  4. Step 4: Simplify right side
    78,656,636,896.80x = 9,280,299,791,872,559,153,152
  5. Step 5: Solve for x
    x = 9,280,299,791,872,559,153,152/78,656,636,896.80
  6. Step 6: Final answer
    x = 117,984,955,345.20

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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.