Finding the Fourth Proportional to 993,329,363,300.17, 1,371,049,571,124 and 646,962,756,600.42
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Solution
The fourth proportional to 993,329,363,300.17, 1,371,049,571,124 and 646,962,756,600.42 is: 892,974,719,908.85
Step by Step Solution
- Step 1: Write the proportion equation
993,329,363,300.17 : 1,371,049,571,124 = 646,962,756,600.42 : x - Step 2: Convert to fraction form
993,329,363,300.17/1,371,049,571,124 = 646,962,756,600.42/x - Step 3: Cross multiply
993,329,363,300.17x = 1,371,049,571,124 × 646,962,756,600.42 - Step 4: Simplify right side
993,329,363,300.17x = 887,018,009,970,206,731,927,552 - Step 5: Solve for x
x = 887,018,009,970,206,731,927,552/993,329,363,300.17 - Step 6: Final answer
x = 892,974,719,908.85
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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.