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Finding the Fourth Proportional to 630,109,802.10, 945,164,703.15 and 630,109,802.10

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Solution

The fourth proportional to 630,109,802.10, 945,164,703.15 and 630,109,802.10 is: 945,164,703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,109,802.10 : 945,164,703.15 = 630,109,802.10 : x
  2. Step 2: Convert to fraction form
    630,109,802.10/945,164,703.15 = 630,109,802.10/x
  3. Step 3: Cross multiply
    630,109,802.10x = 945,164,703.15 × 630,109,802.10
  4. Step 4: Simplify right side
    630,109,802.10x = 595,557,544,053,751,808
  5. Step 5: Solve for x
    x = 595,557,544,053,751,808/630,109,802.10
  6. Step 6: Final answer
    x = 945,164,703.15

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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.