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Finding the Fourth Proportional to 978,804,047.10, 1,468,206,070.65 and 564,988,655.10

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Solution

The fourth proportional to 978,804,047.10, 1,468,206,070.65 and 564,988,655.10 is: 847,482,982.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,804,047.10 : 1,468,206,070.65 = 564,988,655.10 : x
  2. Step 2: Convert to fraction form
    978,804,047.10/1,468,206,070.65 = 564,988,655.10/x
  3. Step 3: Cross multiply
    978,804,047.10x = 1,468,206,070.65 × 564,988,655.10
  4. Step 4: Simplify right side
    978,804,047.10x = 829,519,773,266,199,168
  5. Step 5: Solve for x
    x = 829,519,773,266,199,168/978,804,047.10
  6. Step 6: Final answer
    x = 847,482,982.65

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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.