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Finding the Fourth Proportional to 106,931,507,411.70, 160,397,261,117.55 and 106,931,507,411.70

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Solution

The fourth proportional to 106,931,507,411.70, 160,397,261,117.55 and 106,931,507,411.70 is: 160,397,261,117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,931,507,411.70 : 160,397,261,117.55 = 106,931,507,411.70 : x
  2. Step 2: Convert to fraction form
    106,931,507,411.70/160,397,261,117.55 = 106,931,507,411.70/x
  3. Step 3: Cross multiply
    106,931,507,411.70x = 160,397,261,117.55 × 106,931,507,411.70
  4. Step 4: Simplify right side
    106,931,507,411.70x = 17,151,520,916,007,676,805,120
  5. Step 5: Solve for x
    x = 17,151,520,916,007,676,805,120/106,931,507,411.70
  6. Step 6: Final answer
    x = 160,397,261,117.55

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Double scale
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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.