Finding the Fourth Proportional to 855,604,956,877, 1,180,763,156,982 and 470,242,962,075.18
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Solution
The fourth proportional to 855,604,956,877, 1,180,763,156,982 and 470,242,962,075.18 is: 648,950,850,489.61
Step by Step Solution
- Step 1: Write the proportion equation
855,604,956,877 : 1,180,763,156,982 = 470,242,962,075.18 : x - Step 2: Convert to fraction form
855,604,956,877/1,180,763,156,982 = 470,242,962,075.18/x - Step 3: Cross multiply
855,604,956,877x = 1,180,763,156,982 × 470,242,962,075.18 - Step 4: Simplify right side
855,604,956,877x = 555,245,564,448,456,445,001,728 - Step 5: Solve for x
x = 555,245,564,448,456,445,001,728/855,604,956,877 - Step 6: Final answer
x = 648,950,850,489.61
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.