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Finding the Fourth Proportional to 746,506,211.40, 1,119,759,317.10 and 746,506,211.40

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Solution

The fourth proportional to 746,506,211.40, 1,119,759,317.10 and 746,506,211.40 is: 1,119,759,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,506,211.40 : 1,119,759,317.10 = 746,506,211.40 : x
  2. Step 2: Convert to fraction form
    746,506,211.40/1,119,759,317.10 = 746,506,211.40/x
  3. Step 3: Cross multiply
    746,506,211.40x = 1,119,759,317.10 × 746,506,211.40
  4. Step 4: Simplify right side
    746,506,211.40x = 835,907,285,488,172,160
  5. Step 5: Solve for x
    x = 835,907,285,488,172,160/746,506,211.40
  6. Step 6: Final answer
    x = 1,119,759,317.10

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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.