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Finding the Fourth Proportional to 255,696,526,907.60, 383,544,790,361.40 and 255,696,526,907.60

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Solution

The fourth proportional to 255,696,526,907.60, 383,544,790,361.40 and 255,696,526,907.60 is: 383,544,790,361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,696,526,907.60 : 383,544,790,361.40 = 255,696,526,907.60 : x
  2. Step 2: Convert to fraction form
    255,696,526,907.60/383,544,790,361.40 = 255,696,526,907.60/x
  3. Step 3: Cross multiply
    255,696,526,907.60x = 383,544,790,361.40 × 255,696,526,907.60
  4. Step 4: Simplify right side
    255,696,526,907.60x = 98,071,070,808,913,532,157,952
  5. Step 5: Solve for x
    x = 98,071,070,808,913,532,157,952/255,696,526,907.60
  6. Step 6: Final answer
    x = 383,544,790,361.40

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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.