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Finding the Fourth Proportional to 652,536,009.90, 978,804,014.85 and 362,298,365.10

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Solution

The fourth proportional to 652,536,009.90, 978,804,014.85 and 362,298,365.10 is: 543,447,547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,536,009.90 : 978,804,014.85 = 362,298,365.10 : x
  2. Step 2: Convert to fraction form
    652,536,009.90/978,804,014.85 = 362,298,365.10/x
  3. Step 3: Cross multiply
    652,536,009.90x = 978,804,014.85 × 362,298,365.10
  4. Step 4: Simplify right side
    652,536,009.90x = 354,619,094,333,471,168
  5. Step 5: Solve for x
    x = 354,619,094,333,471,168/652,536,009.90
  6. Step 6: Final answer
    x = 543,447,547.65

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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.