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Finding the Fourth Proportional to 102,596,570,905.30, 153,649,968,345.15 and 102,596,570,905.30

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Solution

The fourth proportional to 102,596,570,905.30, 153,649,968,345.15 and 102,596,570,905.30 is: 153,649,968,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,596,570,905.30 : 153,649,968,345.15 = 102,596,570,905.30 : x
  2. Step 2: Convert to fraction form
    102,596,570,905.30/153,649,968,345.15 = 102,596,570,905.30/x
  3. Step 3: Cross multiply
    102,596,570,905.30x = 153,649,968,345.15 × 102,596,570,905.30
  4. Step 4: Simplify right side
    102,596,570,905.30x = 15,763,959,871,920,282,796,032
  5. Step 5: Solve for x
    x = 15,763,959,871,920,282,796,032/102,596,570,905.30
  6. Step 6: Final answer
    x = 153,649,968,345.15

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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.