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Finding the Fourth Proportional to 713,436,302.40, 1,070,154,453.60 and 713,436,302.40

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Solution

The fourth proportional to 713,436,302.40, 1,070,154,453.60 and 713,436,302.40 is: 1,070,154,453.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,436,302.40 : 1,070,154,453.60 = 713,436,302.40 : x
  2. Step 2: Convert to fraction form
    713,436,302.40/1,070,154,453.60 = 713,436,302.40/x
  3. Step 3: Cross multiply
    713,436,302.40x = 1,070,154,453.60 × 713,436,302.40
  4. Step 4: Simplify right side
    713,436,302.40x = 763,487,036,373,276,416
  5. Step 5: Solve for x
    x = 763,487,036,373,276,416/713,436,302.40
  6. Step 6: Final answer
    x = 1,070,154,453.60

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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.