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Finding the Fourth Proportional to 1,064,564,296.40, 1,594,457,657.40 and 873,461,320.40

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Solution

The fourth proportional to 1,064,564,296.40, 1,594,457,657.40 and 873,461,320.40 is: 1,308,232,011.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064,564,296.40 : 1,594,457,657.40 = 873,461,320.40 : x
  2. Step 2: Convert to fraction form
    1,064,564,296.40/1,594,457,657.40 = 873,461,320.40/x
  3. Step 3: Cross multiply
    1,064,564,296.40x = 1,594,457,657.40 × 873,461,320.40
  4. Step 4: Simplify right side
    1,064,564,296.40x = 1,392,697,090,754,494,976
  5. Step 5: Solve for x
    x = 1,392,697,090,754,494,976/1,064,564,296.40
  6. Step 6: Final answer
    x = 1,308,232,011.41

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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.