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Finding the Fourth Proportional to 586,710,864,037.01, 880,066,296,055.52 and 586,710,864,037.01

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Solution

The fourth proportional to 586,710,864,037.01, 880,066,296,055.52 and 586,710,864,037.01 is: 880,066,296,055.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,710,864,037.01 : 880,066,296,055.52 = 586,710,864,037.01 : x
  2. Step 2: Convert to fraction form
    586,710,864,037.01/880,066,296,055.52 = 586,710,864,037.01/x
  3. Step 3: Cross multiply
    586,710,864,037.01x = 880,066,296,055.52 × 586,710,864,037.01
  4. Step 4: Simplify right side
    586,710,864,037.01x = 516,344,456,968,585,212,854,272
  5. Step 5: Solve for x
    x = 516,344,456,968,585,212,854,272/586,710,864,037.01
  6. Step 6: Final answer
    x = 880,066,296,055.52

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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.