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Finding the Fourth Proportional to 1,066,266,145.40, 1,596,529,436.70 and 1,066,266,145.40

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Solution

The fourth proportional to 1,066,266,145.40, 1,596,529,436.70 and 1,066,266,145.40 is: 1,596,529,436.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066,266,145.40 : 1,596,529,436.70 = 1,066,266,145.40 : x
  2. Step 2: Convert to fraction form
    1,066,266,145.40/1,596,529,436.70 = 1,066,266,145.40/x
  3. Step 3: Cross multiply
    1,066,266,145.40x = 1,596,529,436.70 × 1,066,266,145.40
  4. Step 4: Simplify right side
    1,066,266,145.40x = 1,702,325,288,487,742,208
  5. Step 5: Solve for x
    x = 1,702,325,288,487,742,208/1,066,266,145.40
  6. Step 6: Final answer
    x = 1,596,529,436.70

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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.