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Finding the Fourth Proportional to 200,464,427.60, 300,696,641.40 and 160,153,643.60

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Solution

The fourth proportional to 200,464,427.60, 300,696,641.40 and 160,153,643.60 is: 240,230,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,464,427.60 : 300,696,641.40 = 160,153,643.60 : x
  2. Step 2: Convert to fraction form
    200,464,427.60/300,696,641.40 = 160,153,643.60/x
  3. Step 3: Cross multiply
    200,464,427.60x = 300,696,641.40 × 160,153,643.60
  4. Step 4: Simplify right side
    200,464,427.60x = 48,157,662,738,492,600
  5. Step 5: Solve for x
    x = 48,157,662,738,492,600/200,464,427.60
  6. Step 6: Final answer
    x = 240,230,465.40

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Double scale
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Similar ratio
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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.