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Finding the Fourth Proportional to 146,678,312,502.90, 220,017,468,754.35 and 146,678,312,502.90

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Solution

The fourth proportional to 146,678,312,502.90, 220,017,468,754.35 and 146,678,312,502.90 is: 220,017,468,754.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,678,312,502.90 : 220,017,468,754.35 = 146,678,312,502.90 : x
  2. Step 2: Convert to fraction form
    146,678,312,502.90/220,017,468,754.35 = 146,678,312,502.90/x
  3. Step 3: Cross multiply
    146,678,312,502.90x = 220,017,468,754.35 × 146,678,312,502.90
  4. Step 4: Simplify right side
    146,678,312,502.90x = 32,271,791,038,047,585,304,576
  5. Step 5: Solve for x
    x = 32,271,791,038,047,585,304,576/146,678,312,502.90
  6. Step 6: Final answer
    x = 220,017,468,754.35

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1.5x scale

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.