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Finding the Fourth Proportional to 146,680,636,701.60, 220,020,955,052.40 and 146,680,636,701.60

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Solution

The fourth proportional to 146,680,636,701.60, 220,020,955,052.40 and 146,680,636,701.60 is: 220,020,955,052.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,680,636,701.60 : 220,020,955,052.40 = 146,680,636,701.60 : x
  2. Step 2: Convert to fraction form
    146,680,636,701.60/220,020,955,052.40 = 146,680,636,701.60/x
  3. Step 3: Cross multiply
    146,680,636,701.60x = 220,020,955,052.40 × 146,680,636,701.60
  4. Step 4: Simplify right side
    146,680,636,701.60x = 32,272,813,774,780,149,792,768
  5. Step 5: Solve for x
    x = 32,272,813,774,780,149,792,768/146,680,636,701.60
  6. Step 6: Final answer
    x = 220,020,955,052.40

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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.