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Finding the Fourth Proportional to 1,010,993,000.10, 1,516,041,602.55 and 465,901,620.90

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Solution

The fourth proportional to 1,010,993,000.10, 1,516,041,602.55 and 465,901,620.90 is: 698,646,024.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,993,000.10 : 1,516,041,602.55 = 465,901,620.90 : x
  2. Step 2: Convert to fraction form
    1,010,993,000.10/1,516,041,602.55 = 465,901,620.90/x
  3. Step 3: Cross multiply
    1,010,993,000.10x = 1,516,041,602.55 × 465,901,620.90
  4. Step 4: Simplify right side
    1,010,993,000.10x = 706,326,239,979,878,528
  5. Step 5: Solve for x
    x = 706,326,239,979,878,528/1,010,993,000.10
  6. Step 6: Final answer
    x = 698,646,024.17

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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.