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Finding the Fourth Proportional to 549,421,507,810.90, 824,132,261,716.30 and 549,421,507,810.90

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Solution

The fourth proportional to 549,421,507,810.90, 824,132,261,716.30 and 549,421,507,810.90 is: 824,132,261,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,421,507,810.90 : 824,132,261,716.30 = 549,421,507,810.90 : x
  2. Step 2: Convert to fraction form
    549,421,507,810.90/824,132,261,716.30 = 549,421,507,810.90/x
  3. Step 3: Cross multiply
    549,421,507,810.90x = 824,132,261,716.30 × 549,421,507,810.90
  4. Step 4: Simplify right side
    549,421,507,810.90x = 452,795,989,867,776,853,409,792
  5. Step 5: Solve for x
    x = 452,795,989,867,776,853,409,792/549,421,507,810.90
  6. Step 6: Final answer
    x = 824,132,261,716.30

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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.