Finding the Fourth Proportional to 1,413,740,506,868, 2,120,908,587,711.60 and 458,604,523,276.66
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Solution
The fourth proportional to 1,413,740,506,868, 2,120,908,587,711.60 and 458,604,523,276.66 is: 688,003,397,409.67
Step by Step Solution
- Step 1: Write the proportion equation
1,413,740,506,868 : 2,120,908,587,711.60 = 458,604,523,276.66 : x - Step 2: Convert to fraction form
1,413,740,506,868/2,120,908,587,711.60 = 458,604,523,276.66/x - Step 3: Cross multiply
1,413,740,506,868x = 2,120,908,587,711.60 × 458,604,523,276.66 - Step 4: Simplify right side
1,413,740,506,868x = 972,658,271,780,852,490,829,824 - Step 5: Solve for x
x = 972,658,271,780,852,490,829,824/1,413,740,506,868 - Step 6: Final answer
x = 688,003,397,409.67
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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.