Finding the Fourth Proportional to 977,255,318,348.36, 1,466,095,038,428.90 and 297,316,003,660.74
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Solution
The fourth proportional to 977,255,318,348.36, 1,466,095,038,428.90 and 297,316,003,660.74 is: 446,038,521,999.77
Step by Step Solution
- Step 1: Write the proportion equation
977,255,318,348.36 : 1,466,095,038,428.90 = 297,316,003,660.74 : x - Step 2: Convert to fraction form
977,255,318,348.36/1,466,095,038,428.90 = 297,316,003,660.74/x - Step 3: Cross multiply
977,255,318,348.36x = 1,466,095,038,428.90 × 297,316,003,660.74 - Step 4: Simplify right side
977,255,318,348.36x = 435,893,517,812,519,520,960,512 - Step 5: Solve for x
x = 435,893,517,812,519,520,960,512/977,255,318,348.36 - Step 6: Final answer
x = 446,038,521,999.77
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.