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Finding the Fourth Proportional to 4,549,841,569.01, 6,824,762,353.53 and 4,549,841,569.01

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Solution

The fourth proportional to 4,549,841,569.01, 6,824,762,353.53 and 4,549,841,569.01 is: 6,824,762,353.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549,841,569.01 : 6,824,762,353.53 = 4,549,841,569.01 : x
  2. Step 2: Convert to fraction form
    4,549,841,569.01/6,824,762,353.53 = 4,549,841,569.01/x
  3. Step 3: Cross multiply
    4,549,841,569.01x = 6,824,762,353.53 × 4,549,841,569.01
  4. Step 4: Simplify right side
    4,549,841,569.01x = 31,051,587,454,722,375,680
  5. Step 5: Solve for x
    x = 31,051,587,454,722,375,680/4,549,841,569.01
  6. Step 6: Final answer
    x = 6,824,762,353.53

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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.