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Finding the Fourth Proportional to 489,671,173.60, 734,506,760.40 and 489,671,173.60

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Solution

The fourth proportional to 489,671,173.60, 734,506,760.40 and 489,671,173.60 is: 734,506,760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,671,173.60 : 734,506,760.40 = 489,671,173.60 : x
  2. Step 2: Convert to fraction form
    489,671,173.60/734,506,760.40 = 489,671,173.60/x
  3. Step 3: Cross multiply
    489,671,173.60x = 734,506,760.40 × 489,671,173.60
  4. Step 4: Simplify right side
    489,671,173.60x = 359,666,787,382,201,984
  5. Step 5: Solve for x
    x = 359,666,787,382,201,984/489,671,173.60
  6. Step 6: Final answer
    x = 734,506,760.40

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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.