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Finding the Fourth Proportional to 366,534,938,423.65, 549,802,407,635.50 and 366,534,938,423.65

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Solution

The fourth proportional to 366,534,938,423.65, 549,802,407,635.50 and 366,534,938,423.65 is: 549,802,407,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,534,938,423.65 : 549,802,407,635.50 = 366,534,938,423.65 : x
  2. Step 2: Convert to fraction form
    366,534,938,423.65/549,802,407,635.50 = 366,534,938,423.65/x
  3. Step 3: Cross multiply
    366,534,938,423.65x = 549,802,407,635.50 × 366,534,938,423.65
  4. Step 4: Simplify right side
    366,534,938,423.65x = 201,521,791,627,852,521,668,608
  5. Step 5: Solve for x
    x = 201,521,791,627,852,521,668,608/366,534,938,423.65
  6. Step 6: Final answer
    x = 549,802,407,635.50

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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.