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Finding the Fourth Proportional to 549,709,404.30, 824,564,106.45 and 549,709,404.30

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Solution

The fourth proportional to 549,709,404.30, 824,564,106.45 and 549,709,404.30 is: 824,564,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,709,404.30 : 824,564,106.45 = 549,709,404.30 : x
  2. Step 2: Convert to fraction form
    549,709,404.30/824,564,106.45 = 549,709,404.30/x
  3. Step 3: Cross multiply
    549,709,404.30x = 824,564,106.45 × 549,709,404.30
  4. Step 4: Simplify right side
    549,709,404.30x = 453,270,643,763,791,296
  5. Step 5: Solve for x
    x = 453,270,643,763,791,296/549,709,404.30
  6. Step 6: Final answer
    x = 824,564,106.45

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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.